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Finding the Fourth Proportional to 100,471.28, 138,626.52 and 64,672.88

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Solution

The fourth proportional to 100,471.28, 138,626.52 and 64,672.88 is: 89,233.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,471.28 : 138,626.52 = 64,672.88 : x
  2. Step 2: Convert to fraction form
    100,471.28/138,626.52 = 64,672.88/x
  3. Step 3: Cross multiply
    100,471.28x = 138,626.52 × 64,672.88
  4. Step 4: Simplify right side
    100,471.28x = 8,965,376,292.78
  5. Step 5: Solve for x
    x = 8,965,376,292.78/100,471.28
  6. Step 6: Final answer
    x = 89,233.22

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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.