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Finding the Fourth Proportional to 83,157.38, 114,878.61 and 71,959.94

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Solution

The fourth proportional to 83,157.38, 114,878.61 and 71,959.94 is: 99,409.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,157.38 : 114,878.61 = 71,959.94 : x
  2. Step 2: Convert to fraction form
    83,157.38/114,878.61 = 71,959.94/x
  3. Step 3: Cross multiply
    83,157.38x = 114,878.61 × 71,959.94
  4. Step 4: Simplify right side
    83,157.38x = 8,266,657,882.88
  5. Step 5: Solve for x
    x = 8,266,657,882.88/83,157.38
  6. Step 6: Final answer
    x = 99,409.79

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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.