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Finding the Fourth Proportional to 275,882.56, 413,600.51 and 86,245.29

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Solution

The fourth proportional to 275,882.56, 413,600.51 and 86,245.29 is: 129,298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,882.56 : 413,600.51 = 86,245.29 : x
  2. Step 2: Convert to fraction form
    275,882.56/413,600.51 = 86,245.29/x
  3. Step 3: Cross multiply
    275,882.56x = 413,600.51 × 86,245.29
  4. Step 4: Simplify right side
    275,882.56x = 35,671,096,144.71
  5. Step 5: Solve for x
    x = 35,671,096,144.71/275,882.56
  6. Step 6: Final answer
    x = 129,298.12

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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.