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Finding the Fourth Proportional to 80,663.28, 120,981.24 and 21,505.20

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Solution

The fourth proportional to 80,663.28, 120,981.24 and 21,505.20 is: 32,254.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,663.28 : 120,981.24 = 21,505.20 : x
  2. Step 2: Convert to fraction form
    80,663.28/120,981.24 = 21,505.20/x
  3. Step 3: Cross multiply
    80,663.28x = 120,981.24 × 21,505.20
  4. Step 4: Simplify right side
    80,663.28x = 2,601,725,762.45
  5. Step 5: Solve for x
    x = 2,601,725,762.45/80,663.28
  6. Step 6: Final answer
    x = 32,254.15

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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.