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Finding the Fourth Proportional to 181,403.52, 271,710.72 and 87,712

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Solution

The fourth proportional to 181,403.52, 271,710.72 and 87,712 is: 131,377.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,403.52 : 271,710.72 = 87,712 : x
  2. Step 2: Convert to fraction form
    181,403.52/271,710.72 = 87,712/x
  3. Step 3: Cross multiply
    181,403.52x = 271,710.72 × 87,712
  4. Step 4: Simplify right side
    181,403.52x = 23,832,290,672.64
  5. Step 5: Solve for x
    x = 23,832,290,672.64/181,403.52
  6. Step 6: Final answer
    x = 131,377.22

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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.