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Finding the Fourth Proportional to 82,355.59, 123,465.88 and 52,765.75

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Solution

The fourth proportional to 82,355.59, 123,465.88 and 52,765.75 is: 79,105.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,355.59 : 123,465.88 = 52,765.75 : x
  2. Step 2: Convert to fraction form
    82,355.59/123,465.88 = 52,765.75/x
  3. Step 3: Cross multiply
    82,355.59x = 123,465.88 × 52,765.75
  4. Step 4: Simplify right side
    82,355.59x = 6,514,769,757.61
  5. Step 5: Solve for x
    x = 6,514,769,757.61/82,355.59
  6. Step 6: Final answer
    x = 79,105.37

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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.