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Finding the Fourth Proportional to 272,300.92, 408,451.56 and 85,327

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Solution

The fourth proportional to 272,300.92, 408,451.56 and 85,327 is: 127,990.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,300.92 : 408,451.56 = 85,327 : x
  2. Step 2: Convert to fraction form
    272,300.92/408,451.56 = 85,327/x
  3. Step 3: Cross multiply
    272,300.92x = 408,451.56 × 85,327
  4. Step 4: Simplify right side
    272,300.92x = 34,851,946,260.12
  5. Step 5: Solve for x
    x = 34,851,946,260.12/272,300.92
  6. Step 6: Final answer
    x = 127,990.56

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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.