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Finding the Fourth Proportional to 159,766.47, 239,616.90 and 75,490.83

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Solution

The fourth proportional to 159,766.47, 239,616.90 and 75,490.83 is: 113,220.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,766.47 : 239,616.90 = 75,490.83 : x
  2. Step 2: Convert to fraction form
    159,766.47/239,616.90 = 75,490.83/x
  3. Step 3: Cross multiply
    159,766.47x = 239,616.90 × 75,490.83
  4. Step 4: Simplify right side
    159,766.47x = 18,088,878,663.03
  5. Step 5: Solve for x
    x = 18,088,878,663.03/159,766.47
  6. Step 6: Final answer
    x = 113,220.74

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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.