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Finding the Fourth Proportional to 83,195.80, 124,618.20 and 55,129.30

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Solution

The fourth proportional to 83,195.80, 124,618.20 and 55,129.30 is: 82,577.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,195.80 : 124,618.20 = 55,129.30 : x
  2. Step 2: Convert to fraction form
    83,195.80/124,618.20 = 55,129.30/x
  3. Step 3: Cross multiply
    83,195.80x = 124,618.20 × 55,129.30
  4. Step 4: Simplify right side
    83,195.80x = 6,870,114,133.26
  5. Step 5: Solve for x
    x = 6,870,114,133.26/83,195.80
  6. Step 6: Final answer
    x = 82,577.66

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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.