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Finding the Fourth Proportional to 181,288, 271,737.60 and 87,587.20

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Solution

The fourth proportional to 181,288, 271,737.60 and 87,587.20 is: 131,286.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,288 : 271,737.60 = 87,587.20 : x
  2. Step 2: Convert to fraction form
    181,288/271,737.60 = 87,587.20/x
  3. Step 3: Cross multiply
    181,288x = 271,737.60 × 87,587.20
  4. Step 4: Simplify right side
    181,288x = 23,800,735,518.72
  5. Step 5: Solve for x
    x = 23,800,735,518.72/181,288
  6. Step 6: Final answer
    x = 131,286.88

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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.