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Finding the Fourth Proportional to 83,156.88, 114,877.92 and 71,959.44

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Solution

The fourth proportional to 83,156.88, 114,877.92 and 71,959.44 is: 99,409.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,156.88 : 114,877.92 = 71,959.44 : x
  2. Step 2: Convert to fraction form
    83,156.88/114,877.92 = 71,959.44/x
  3. Step 3: Cross multiply
    83,156.88x = 114,877.92 × 71,959.44
  4. Step 4: Simplify right side
    83,156.88x = 8,266,550,791.56
  5. Step 5: Solve for x
    x = 8,266,550,791.56/83,156.88
  6. Step 6: Final answer
    x = 99,409.10

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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.