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Finding the Fourth Proportional to 159,278.68, 239,065.89 and 80,448.31

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Solution

The fourth proportional to 159,278.68, 239,065.89 and 80,448.31 is: 120,747.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,278.68 : 239,065.89 = 80,448.31 : x
  2. Step 2: Convert to fraction form
    159,278.68/239,065.89 = 80,448.31/x
  3. Step 3: Cross multiply
    159,278.68x = 239,065.89 × 80,448.31
  4. Step 4: Simplify right side
    159,278.68x = 19,232,446,829.15
  5. Step 5: Solve for x
    x = 19,232,446,829.15/159,278.68
  6. Step 6: Final answer
    x = 120,747.15

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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.