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Finding the Fourth Proportional to 157,634.78, 217,535.99 and 101,046.15

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Solution

The fourth proportional to 157,634.78, 217,535.99 and 101,046.15 is: 139,443.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,634.78 : 217,535.99 = 101,046.15 : x
  2. Step 2: Convert to fraction form
    157,634.78/217,535.99 = 101,046.15/x
  3. Step 3: Cross multiply
    157,634.78x = 217,535.99 × 101,046.15
  4. Step 4: Simplify right side
    157,634.78x = 21,981,173,770.71
  5. Step 5: Solve for x
    x = 21,981,173,770.71/157,634.78
  6. Step 6: Final answer
    x = 139,443.68

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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.