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Finding the Fourth Proportional to 101,951.72, 140,691.49 and 56,627.90

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Solution

The fourth proportional to 101,951.72, 140,691.49 and 56,627.90 is: 78,145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,951.72 : 140,691.49 = 56,627.90 : x
  2. Step 2: Convert to fraction form
    101,951.72/140,691.49 = 56,627.90/x
  3. Step 3: Cross multiply
    101,951.72x = 140,691.49 × 56,627.90
  4. Step 4: Simplify right side
    101,951.72x = 7,967,062,781.54
  5. Step 5: Solve for x
    x = 7,967,062,781.54/101,951.72
  6. Step 6: Final answer
    x = 78,145.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.