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Finding the Fourth Proportional to 100,877.94, 138,974.76 and 70,198.29

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Solution

The fourth proportional to 100,877.94, 138,974.76 and 70,198.29 is: 96,708.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,877.94 : 138,974.76 = 70,198.29 : x
  2. Step 2: Convert to fraction form
    100,877.94/138,974.76 = 70,198.29/x
  3. Step 3: Cross multiply
    100,877.94x = 138,974.76 × 70,198.29
  4. Step 4: Simplify right side
    100,877.94x = 9,755,790,505.16
  5. Step 5: Solve for x
    x = 9,755,790,505.16/100,877.94
  6. Step 6: Final answer
    x = 96,708.86

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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.