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Finding the Fourth Proportional to 159,632.20, 239,414.70 and 80,672.20

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Solution

The fourth proportional to 159,632.20, 239,414.70 and 80,672.20 is: 120,991.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,632.20 : 239,414.70 = 80,672.20 : x
  2. Step 2: Convert to fraction form
    159,632.20/239,414.70 = 80,672.20/x
  3. Step 3: Cross multiply
    159,632.20x = 239,414.70 × 80,672.20
  4. Step 4: Simplify right side
    159,632.20x = 19,314,110,561.34
  5. Step 5: Solve for x
    x = 19,314,110,561.34/159,632.20
  6. Step 6: Final answer
    x = 120,991.32

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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.