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Finding the Fourth Proportional to 120,034.86, 165,655.87 and 66,319.86

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Solution

The fourth proportional to 120,034.86, 165,655.87 and 66,319.86 is: 91,525.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,034.86 : 165,655.87 = 66,319.86 : x
  2. Step 2: Convert to fraction form
    120,034.86/165,655.87 = 66,319.86/x
  3. Step 3: Cross multiply
    120,034.86x = 165,655.87 × 66,319.86
  4. Step 4: Simplify right side
    120,034.86x = 10,986,274,841.78
  5. Step 5: Solve for x
    x = 10,986,274,841.78/120,034.86
  6. Step 6: Final answer
    x = 91,525.70

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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.