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Finding the Fourth Proportional to 102,110.64, 153,165.84 and 31,995.42

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Solution

The fourth proportional to 102,110.64, 153,165.84 and 31,995.42 is: 47,993.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,110.64 : 153,165.84 = 31,995.42 : x
  2. Step 2: Convert to fraction form
    102,110.64/153,165.84 = 31,995.42/x
  3. Step 3: Cross multiply
    102,110.64x = 153,165.84 × 31,995.42
  4. Step 4: Simplify right side
    102,110.64x = 4,900,605,380.45
  5. Step 5: Solve for x
    x = 4,900,605,380.45/102,110.64
  6. Step 6: Final answer
    x = 47,993.09

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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.