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Finding the Fourth Proportional to 157,702.38, 217,707.39 and 100,398.66

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Solution

The fourth proportional to 157,702.38, 217,707.39 and 100,398.66 is: 138,599.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,702.38 : 217,707.39 = 100,398.66 : x
  2. Step 2: Convert to fraction form
    157,702.38/217,707.39 = 100,398.66/x
  3. Step 3: Cross multiply
    157,702.38x = 217,707.39 × 100,398.66
  4. Step 4: Simplify right side
    157,702.38x = 21,857,530,228.10
  5. Step 5: Solve for x
    x = 21,857,530,228.10/157,702.38
  6. Step 6: Final answer
    x = 138,599.88

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1.5x scale

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.