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Finding the Fourth Proportional to 82,582.80, 123,728.40 and 67,711.20

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Solution

The fourth proportional to 82,582.80, 123,728.40 and 67,711.20 is: 101,447.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,582.80 : 123,728.40 = 67,711.20 : x
  2. Step 2: Convert to fraction form
    82,582.80/123,728.40 = 67,711.20/x
  3. Step 3: Cross multiply
    82,582.80x = 123,728.40 × 67,711.20
  4. Step 4: Simplify right side
    82,582.80x = 8,377,798,438.08
  5. Step 5: Solve for x
    x = 8,377,798,438.08/82,582.80
  6. Step 6: Final answer
    x = 101,447.26

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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.