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Finding the Fourth Proportional to 257,402.64, 386,123.70 and 86,625.19

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Solution

The fourth proportional to 257,402.64, 386,123.70 and 86,625.19 is: 129,944.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,402.64 : 386,123.70 = 86,625.19 : x
  2. Step 2: Convert to fraction form
    257,402.64/386,123.70 = 86,625.19/x
  3. Step 3: Cross multiply
    257,402.64x = 386,123.70 × 86,625.19
  4. Step 4: Simplify right side
    257,402.64x = 33,448,039,683.50
  5. Step 5: Solve for x
    x = 33,448,039,683.50/257,402.64
  6. Step 6: Final answer
    x = 129,944.43

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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.