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Finding the Fourth Proportional to 239,424, 359,187.84 and 91,680

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Solution

The fourth proportional to 239,424, 359,187.84 and 91,680 is: 137,539.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,424 : 359,187.84 = 91,680 : x
  2. Step 2: Convert to fraction form
    239,424/359,187.84 = 91,680/x
  3. Step 3: Cross multiply
    239,424x = 359,187.84 × 91,680
  4. Step 4: Simplify right side
    239,424x = 32,930,341,171.20
  5. Step 5: Solve for x
    x = 32,930,341,171.20/239,424
  6. Step 6: Final answer
    x = 137,539.85

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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.