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Finding the Fourth Proportional to 138,452.86, 207,679.30 and 43,692.64

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Solution

The fourth proportional to 138,452.86, 207,679.30 and 43,692.64 is: 65,538.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,452.86 : 207,679.30 = 43,692.64 : x
  2. Step 2: Convert to fraction form
    138,452.86/207,679.30 = 43,692.64/x
  3. Step 3: Cross multiply
    138,452.86x = 207,679.30 × 43,692.64
  4. Step 4: Simplify right side
    138,452.86x = 9,074,056,890.35
  5. Step 5: Solve for x
    x = 9,074,056,890.35/138,452.86
  6. Step 6: Final answer
    x = 65,538.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.