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Finding the Fourth Proportional to 159,811.97, 220,545.81 and 87,218.82

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Solution

The fourth proportional to 159,811.97, 220,545.81 and 87,218.82 is: 120,364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,811.97 : 220,545.81 = 87,218.82 : x
  2. Step 2: Convert to fraction form
    159,811.97/220,545.81 = 87,218.82/x
  3. Step 3: Cross multiply
    159,811.97x = 220,545.81 × 87,218.82
  4. Step 4: Simplify right side
    159,811.97x = 19,235,745,304.14
  5. Step 5: Solve for x
    x = 19,235,745,304.14/159,811.97
  6. Step 6: Final answer
    x = 120,364.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.