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Finding the Fourth Proportional to 457,559.86, 686,330.07 and 125,135.86

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Solution

The fourth proportional to 457,559.86, 686,330.07 and 125,135.86 is: 187,701.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,559.86 : 686,330.07 = 125,135.86 : x
  2. Step 2: Convert to fraction form
    457,559.86/686,330.07 = 125,135.86/x
  3. Step 3: Cross multiply
    457,559.86x = 686,330.07 × 125,135.86
  4. Step 4: Simplify right side
    457,559.86x = 85,884,503,553.31
  5. Step 5: Solve for x
    x = 85,884,503,553.31/457,559.86
  6. Step 6: Final answer
    x = 187,701.13

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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.