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Finding the Fourth Proportional to 82,218.80, 123,385.80 and 52,708.40

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Solution

The fourth proportional to 82,218.80, 123,385.80 and 52,708.40 is: 79,099.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,218.80 : 123,385.80 = 52,708.40 : x
  2. Step 2: Convert to fraction form
    82,218.80/123,385.80 = 52,708.40/x
  3. Step 3: Cross multiply
    82,218.80x = 123,385.80 × 52,708.40
  4. Step 4: Simplify right side
    82,218.80x = 6,503,468,100.72
  5. Step 5: Solve for x
    x = 6,503,468,100.72/82,218.80
  6. Step 6: Final answer
    x = 79,099.53

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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.