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Finding the Fourth Proportional to 120,219.33, 165,915 and 69,233.97

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Solution

The fourth proportional to 120,219.33, 165,915 and 69,233.97 is: 95,549.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,219.33 : 165,915 = 69,233.97 : x
  2. Step 2: Convert to fraction form
    120,219.33/165,915 = 69,233.97/x
  3. Step 3: Cross multiply
    120,219.33x = 165,915 × 69,233.97
  4. Step 4: Simplify right side
    120,219.33x = 11,486,954,132.55
  5. Step 5: Solve for x
    x = 11,486,954,132.55/120,219.33
  6. Step 6: Final answer
    x = 95,549.98

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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.