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Finding the Fourth Proportional to 181,202.31, 271,809.15 and 86,442.84

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Solution

The fourth proportional to 181,202.31, 271,809.15 and 86,442.84 is: 129,666.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,202.31 : 271,809.15 = 86,442.84 : x
  2. Step 2: Convert to fraction form
    181,202.31/271,809.15 = 86,442.84/x
  3. Step 3: Cross multiply
    181,202.31x = 271,809.15 × 86,442.84
  4. Step 4: Simplify right side
    181,202.31x = 23,495,954,863.99
  5. Step 5: Solve for x
    x = 23,495,954,863.99/181,202.31
  6. Step 6: Final answer
    x = 129,666.97

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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.