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Finding the Fourth Proportional to 65,691.68, 90,649.12 and 38,835.32

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Solution

The fourth proportional to 65,691.68, 90,649.12 and 38,835.32 is: 53,589.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,691.68 : 90,649.12 = 38,835.32 : x
  2. Step 2: Convert to fraction form
    65,691.68/90,649.12 = 38,835.32/x
  3. Step 3: Cross multiply
    65,691.68x = 90,649.12 × 38,835.32
  4. Step 4: Simplify right side
    65,691.68x = 3,520,387,582.92
  5. Step 5: Solve for x
    x = 3,520,387,582.92/65,691.68
  6. Step 6: Final answer
    x = 53,589.55

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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.