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Finding the Fourth Proportional to 99,951.71, 137,844 and 82,928.95

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Solution

The fourth proportional to 99,951.71, 137,844 and 82,928.95 is: 114,367.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,951.71 : 137,844 = 82,928.95 : x
  2. Step 2: Convert to fraction form
    99,951.71/137,844 = 82,928.95/x
  3. Step 3: Cross multiply
    99,951.71x = 137,844 × 82,928.95
  4. Step 4: Simplify right side
    99,951.71x = 11,431,257,839.19
  5. Step 5: Solve for x
    x = 11,431,257,839.19/99,951.71
  6. Step 6: Final answer
    x = 114,367.81

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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.