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Finding the Fourth Proportional to 120,609, 166,331.51 and 75,291.18

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Solution

The fourth proportional to 120,609, 166,331.51 and 75,291.18 is: 103,833.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,609 : 166,331.51 = 75,291.18 : x
  2. Step 2: Convert to fraction form
    120,609/166,331.51 = 75,291.18/x
  3. Step 3: Cross multiply
    120,609x = 166,331.51 × 75,291.18
  4. Step 4: Simplify right side
    120,609x = 12,523,294,450.97
  5. Step 5: Solve for x
    x = 12,523,294,450.97/120,609
  6. Step 6: Final answer
    x = 103,833.83

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1.5x scale

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.