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Finding the Fourth Proportional to 77,113.80, 115,613.10 and 32,704.20

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Solution

The fourth proportional to 77,113.80, 115,613.10 and 32,704.20 is: 49,031.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,113.80 : 115,613.10 = 32,704.20 : x
  2. Step 2: Convert to fraction form
    77,113.80/115,613.10 = 32,704.20/x
  3. Step 3: Cross multiply
    77,113.80x = 115,613.10 × 32,704.20
  4. Step 4: Simplify right side
    77,113.80x = 3,781,033,945.02
  5. Step 5: Solve for x
    x = 3,781,033,945.02/77,113.80
  6. Step 6: Final answer
    x = 49,031.87

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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.