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Finding the Fourth Proportional to 157,614.85, 217,442.69 and 103,180.32

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Solution

The fourth proportional to 157,614.85, 217,442.69 and 103,180.32 is: 142,345.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,614.85 : 217,442.69 = 103,180.32 : x
  2. Step 2: Convert to fraction form
    157,614.85/217,442.69 = 103,180.32/x
  3. Step 3: Cross multiply
    157,614.85x = 217,442.69 × 103,180.32
  4. Step 4: Simplify right side
    157,614.85x = 22,435,806,335.86
  5. Step 5: Solve for x
    x = 22,435,806,335.86/157,614.85
  6. Step 6: Final answer
    x = 142,345.76

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