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Finding the Fourth Proportional to 100,909, 139,267.79 and 65,202.85

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Solution

The fourth proportional to 100,909, 139,267.79 and 65,202.85 is: 89,988.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,909 : 139,267.79 = 65,202.85 : x
  2. Step 2: Convert to fraction form
    100,909/139,267.79 = 65,202.85/x
  3. Step 3: Cross multiply
    100,909x = 139,267.79 × 65,202.85
  4. Step 4: Simplify right side
    100,909x = 9,080,656,821.20
  5. Step 5: Solve for x
    x = 9,080,656,821.20/100,909
  6. Step 6: Final answer
    x = 89,988.57

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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.