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Finding the Fourth Proportional to 102,207.01, 140,965.65 and 66,408.66

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Solution

The fourth proportional to 102,207.01, 140,965.65 and 66,408.66 is: 91,591.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,207.01 : 140,965.65 = 66,408.66 : x
  2. Step 2: Convert to fraction form
    102,207.01/140,965.65 = 66,408.66/x
  3. Step 3: Cross multiply
    102,207.01x = 140,965.65 × 66,408.66
  4. Step 4: Simplify right side
    102,207.01x = 9,361,339,922.53
  5. Step 5: Solve for x
    x = 9,361,339,922.53/102,207.01
  6. Step 6: Final answer
    x = 91,591.96

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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.