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Finding the Fourth Proportional to 82,642.80, 123,818.40 and 67,771.20

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Solution

The fourth proportional to 82,642.80, 123,818.40 and 67,771.20 is: 101,537.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,642.80 : 123,818.40 = 67,771.20 : x
  2. Step 2: Convert to fraction form
    82,642.80/123,818.40 = 67,771.20/x
  3. Step 3: Cross multiply
    82,642.80x = 123,818.40 × 67,771.20
  4. Step 4: Simplify right side
    82,642.80x = 8,391,321,550.08
  5. Step 5: Solve for x
    x = 8,391,321,550.08/82,642.80
  6. Step 6: Final answer
    x = 101,537.24

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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.