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Finding the Fourth Proportional to 120,269.50, 165,960.63 and 71,861.79

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Solution

The fourth proportional to 120,269.50, 165,960.63 and 71,861.79 is: 99,162.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,269.50 : 165,960.63 = 71,861.79 : x
  2. Step 2: Convert to fraction form
    120,269.50/165,960.63 = 71,861.79/x
  3. Step 3: Cross multiply
    120,269.50x = 165,960.63 × 71,861.79
  4. Step 4: Simplify right side
    120,269.50x = 11,926,227,941.33
  5. Step 5: Solve for x
    x = 11,926,227,941.33/120,269.50
  6. Step 6: Final answer
    x = 99,162.53

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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.