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Finding the Fourth Proportional to 65,731.80, 98,468.10 and 39,358.20

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Solution

The fourth proportional to 65,731.80, 98,468.10 and 39,358.20 is: 58,959.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,731.80 : 98,468.10 = 39,358.20 : x
  2. Step 2: Convert to fraction form
    65,731.80/98,468.10 = 39,358.20/x
  3. Step 3: Cross multiply
    65,731.80x = 98,468.10 × 39,358.20
  4. Step 4: Simplify right side
    65,731.80x = 3,875,527,173.42
  5. Step 5: Solve for x
    x = 3,875,527,173.42/65,731.80
  6. Step 6: Final answer
    x = 58,959.70

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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.