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Finding the Fourth Proportional to 259,710.71, 389,635.16 and 82,221.35

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Solution

The fourth proportional to 259,710.71, 389,635.16 and 82,221.35 is: 123,353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,710.71 : 389,635.16 = 82,221.35 : x
  2. Step 2: Convert to fraction form
    259,710.71/389,635.16 = 82,221.35/x
  3. Step 3: Cross multiply
    259,710.71x = 389,635.16 × 82,221.35
  4. Step 4: Simplify right side
    259,710.71x = 32,036,326,503.38
  5. Step 5: Solve for x
    x = 32,036,326,503.38/259,710.71
  6. Step 6: Final answer
    x = 123,353.89

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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.