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Finding the Fourth Proportional to 99,789.66, 149,708.42 and 33,230.40

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Solution

The fourth proportional to 99,789.66, 149,708.42 and 33,230.40 is: 49,853.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,789.66 : 149,708.42 = 33,230.40 : x
  2. Step 2: Convert to fraction form
    99,789.66/149,708.42 = 33,230.40/x
  3. Step 3: Cross multiply
    99,789.66x = 149,708.42 × 33,230.40
  4. Step 4: Simplify right side
    99,789.66x = 4,974,870,679.97
  5. Step 5: Solve for x
    x = 4,974,870,679.97/99,789.66
  6. Step 6: Final answer
    x = 49,853.57

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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.