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Finding the Fourth Proportional to 71,938.26, 99,371.61 and 65,231.46

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Solution

The fourth proportional to 71,938.26, 99,371.61 and 65,231.46 is: 90,107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,938.26 : 99,371.61 = 65,231.46 : x
  2. Step 2: Convert to fraction form
    71,938.26/99,371.61 = 65,231.46/x
  3. Step 3: Cross multiply
    71,938.26x = 99,371.61 × 65,231.46
  4. Step 4: Simplify right side
    71,938.26x = 6,482,155,202.85
  5. Step 5: Solve for x
    x = 6,482,155,202.85/71,938.26
  6. Step 6: Final answer
    x = 90,107.20

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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.