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Finding the Fourth Proportional to 141,684, 195,516.32 and 81,251.70

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Solution

The fourth proportional to 141,684, 195,516.32 and 81,251.70 is: 112,122.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,684 : 195,516.32 = 81,251.70 : x
  2. Step 2: Convert to fraction form
    141,684/195,516.32 = 81,251.70/x
  3. Step 3: Cross multiply
    141,684x = 195,516.32 × 81,251.70
  4. Step 4: Simplify right side
    141,684x = 15,886,033,377.74
  5. Step 5: Solve for x
    x = 15,886,033,377.74/141,684
  6. Step 6: Final answer
    x = 112,122.99

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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.