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Finding the Fourth Proportional to 82,258.87, 123,437.46 and 75,566.65

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Solution

The fourth proportional to 82,258.87, 123,437.46 and 75,566.65 is: 113,395.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,258.87 : 123,437.46 = 75,566.65 : x
  2. Step 2: Convert to fraction form
    82,258.87/123,437.46 = 75,566.65/x
  3. Step 3: Cross multiply
    82,258.87x = 123,437.46 × 75,566.65
  4. Step 4: Simplify right side
    82,258.87x = 9,327,755,336.71
  5. Step 5: Solve for x
    x = 9,327,755,336.71/82,258.87
  6. Step 6: Final answer
    x = 113,395.13

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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.