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Finding the Fourth Proportional to 82,593.40, 123,265.94 and 74,621.80

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Solution

The fourth proportional to 82,593.40, 123,265.94 and 74,621.80 is: 111,368.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,593.40 : 123,265.94 = 74,621.80 : x
  2. Step 2: Convert to fraction form
    82,593.40/123,265.94 = 74,621.80/x
  3. Step 3: Cross multiply
    82,593.40x = 123,265.94 × 74,621.80
  4. Step 4: Simplify right side
    82,593.40x = 9,198,326,321.49
  5. Step 5: Solve for x
    x = 9,198,326,321.49/82,593.40
  6. Step 6: Final answer
    x = 111,368.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.