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Finding the Fourth Proportional to 109,024.38, 150,410.92 and 80,412.72

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Solution

The fourth proportional to 109,024.38, 150,410.92 and 80,412.72 is: 110,938.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,024.38 : 150,410.92 = 80,412.72 : x
  2. Step 2: Convert to fraction form
    109,024.38/150,410.92 = 80,412.72/x
  3. Step 3: Cross multiply
    109,024.38x = 150,410.92 × 80,412.72
  4. Step 4: Simplify right side
    109,024.38x = 12,094,951,194.90
  5. Step 5: Solve for x
    x = 12,094,951,194.90/109,024.38
  6. Step 6: Final answer
    x = 110,938.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.