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Finding the Fourth Proportional to 150,447.96, 225,693.68 and 80,289

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Solution

The fourth proportional to 150,447.96, 225,693.68 and 80,289 is: 120,445.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,447.96 : 225,693.68 = 80,289 : x
  2. Step 2: Convert to fraction form
    150,447.96/225,693.68 = 80,289/x
  3. Step 3: Cross multiply
    150,447.96x = 225,693.68 × 80,289
  4. Step 4: Simplify right side
    150,447.96x = 18,120,719,472.08
  5. Step 5: Solve for x
    x = 18,120,719,472.08/150,447.96
  6. Step 6: Final answer
    x = 120,445.10

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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.