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Finding the Fourth Proportional to 70,042, 96,659.68 and 38,213.92

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Solution

The fourth proportional to 70,042, 96,659.68 and 38,213.92 is: 52,736.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,042 : 96,659.68 = 38,213.92 : x
  2. Step 2: Convert to fraction form
    70,042/96,659.68 = 38,213.92/x
  3. Step 3: Cross multiply
    70,042x = 96,659.68 × 38,213.92
  4. Step 4: Simplify right side
    70,042x = 3,693,745,278.75
  5. Step 5: Solve for x
    x = 3,693,745,278.75/70,042
  6. Step 6: Final answer
    x = 52,736.15

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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.