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Finding the Fourth Proportional to 257,920.31, 386,989.82 and 124,899.68

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Solution

The fourth proportional to 257,920.31, 386,989.82 and 124,899.68 is: 187,402.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,920.31 : 386,989.82 = 124,899.68 : x
  2. Step 2: Convert to fraction form
    257,920.31/386,989.82 = 124,899.68/x
  3. Step 3: Cross multiply
    257,920.31x = 386,989.82 × 124,899.68
  4. Step 4: Simplify right side
    257,920.31x = 48,334,902,121.81
  5. Step 5: Solve for x
    x = 48,334,902,121.81/257,920.31
  6. Step 6: Final answer
    x = 187,402.47

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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.