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Finding the Fourth Proportional to 120,017.67, 165,613.19 and 76,921.08

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Solution

The fourth proportional to 120,017.67, 165,613.19 and 76,921.08 is: 106,143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,017.67 : 165,613.19 = 76,921.08 : x
  2. Step 2: Convert to fraction form
    120,017.67/165,613.19 = 76,921.08/x
  3. Step 3: Cross multiply
    120,017.67x = 165,613.19 × 76,921.08
  4. Step 4: Simplify right side
    120,017.67x = 12,739,145,052.44
  5. Step 5: Solve for x
    x = 12,739,145,052.44/120,017.67
  6. Step 6: Final answer
    x = 106,143.91

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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.