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Finding the Fourth Proportional to 120,381.74, 166,082.19 and 77,963.66

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Solution

The fourth proportional to 120,381.74, 166,082.19 and 77,963.66 is: 107,560.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,381.74 : 166,082.19 = 77,963.66 : x
  2. Step 2: Convert to fraction form
    120,381.74/166,082.19 = 77,963.66/x
  3. Step 3: Cross multiply
    120,381.74x = 166,082.19 × 77,963.66
  4. Step 4: Simplify right side
    120,381.74x = 12,948,375,393.22
  5. Step 5: Solve for x
    x = 12,948,375,393.22/120,381.74
  6. Step 6: Final answer
    x = 107,560.96

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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.