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Finding the Fourth Proportional to 261,207.31, 391,811.39 and 71,670.28

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Solution

The fourth proportional to 261,207.31, 391,811.39 and 71,670.28 is: 107,505.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,207.31 : 391,811.39 = 71,670.28 : x
  2. Step 2: Convert to fraction form
    261,207.31/391,811.39 = 71,670.28/x
  3. Step 3: Cross multiply
    261,207.31x = 391,811.39 × 71,670.28
  4. Step 4: Simplify right side
    261,207.31x = 28,081,231,670.14
  5. Step 5: Solve for x
    x = 28,081,231,670.14/261,207.31
  6. Step 6: Final answer
    x = 107,505.54

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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.