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Finding the Fourth Proportional to 82,365.93, 123,253.65 and 71,310.78

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Solution

The fourth proportional to 82,365.93, 123,253.65 and 71,310.78 is: 106,710.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,365.93 : 123,253.65 = 71,310.78 : x
  2. Step 2: Convert to fraction form
    82,365.93/123,253.65 = 71,310.78/x
  3. Step 3: Cross multiply
    82,365.93x = 123,253.65 × 71,310.78
  4. Step 4: Simplify right side
    82,365.93x = 8,789,313,919.35
  5. Step 5: Solve for x
    x = 8,789,313,919.35/82,365.93
  6. Step 6: Final answer
    x = 106,710.55

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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.