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Finding the Fourth Proportional to 79,760.43, 119,695.88 and 31,724.12

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Solution

The fourth proportional to 79,760.43, 119,695.88 and 31,724.12 is: 47,608.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,760.43 : 119,695.88 = 31,724.12 : x
  2. Step 2: Convert to fraction form
    79,760.43/119,695.88 = 31,724.12/x
  3. Step 3: Cross multiply
    79,760.43x = 119,695.88 × 31,724.12
  4. Step 4: Simplify right side
    79,760.43x = 3,797,246,460.63
  5. Step 5: Solve for x
    x = 3,797,246,460.63/79,760.43
  6. Step 6: Final answer
    x = 47,608.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.