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Finding the Fourth Proportional to 181,184.80, 271,782.89 and 86,425.28

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Solution

The fourth proportional to 181,184.80, 271,782.89 and 86,425.28 is: 129,640.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,184.80 : 271,782.89 = 86,425.28 : x
  2. Step 2: Convert to fraction form
    181,184.80/271,782.89 = 86,425.28/x
  3. Step 3: Cross multiply
    181,184.80x = 271,782.89 × 86,425.28
  4. Step 4: Simplify right side
    181,184.80x = 23,488,910,576.42
  5. Step 5: Solve for x
    x = 23,488,910,576.42/181,184.80
  6. Step 6: Final answer
    x = 129,640.63

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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.