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Finding the Fourth Proportional to 159,694.40, 239,541.60 and 75,426.86

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Solution

The fourth proportional to 159,694.40, 239,541.60 and 75,426.86 is: 113,140.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,694.40 : 239,541.60 = 75,426.86 : x
  2. Step 2: Convert to fraction form
    159,694.40/239,541.60 = 75,426.86/x
  3. Step 3: Cross multiply
    159,694.40x = 239,541.60 × 75,426.86
  4. Step 4: Simplify right side
    159,694.40x = 18,067,870,727.38
  5. Step 5: Solve for x
    x = 18,067,870,727.38/159,694.40
  6. Step 6: Final answer
    x = 113,140.29

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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.