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Finding the Fourth Proportional to 105,490.44, 158,235.65 and 31,618.44

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Solution

The fourth proportional to 105,490.44, 158,235.65 and 31,618.44 is: 47,427.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,490.44 : 158,235.65 = 31,618.44 : x
  2. Step 2: Convert to fraction form
    105,490.44/158,235.65 = 31,618.44/x
  3. Step 3: Cross multiply
    105,490.44x = 158,235.65 × 31,618.44
  4. Step 4: Simplify right side
    105,490.44x = 5,003,164,405.39
  5. Step 5: Solve for x
    x = 5,003,164,405.39/105,490.44
  6. Step 6: Final answer
    x = 47,427.66

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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.