Home / 102,098.24-153,147.36-31,983

Finding the Fourth Proportional to 102,098.24, 153,147.36 and 31,983

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Solution

The fourth proportional to 102,098.24, 153,147.36 and 31,983 is: 47,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,098.24 : 153,147.36 = 31,983 : x
  2. Step 2: Convert to fraction form
    102,098.24/153,147.36 = 31,983/x
  3. Step 3: Cross multiply
    102,098.24x = 153,147.36 × 31,983
  4. Step 4: Simplify right side
    102,098.24x = 4,898,112,014.88
  5. Step 5: Solve for x
    x = 4,898,112,014.88/102,098.24
  6. Step 6: Final answer
    x = 47,974.50

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.