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Finding the Fourth Proportional to 120,506.76, 166,375.50 and 77,506.20

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Solution

The fourth proportional to 120,506.76, 166,375.50 and 77,506.20 is: 107,007.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,506.76 : 166,375.50 = 77,506.20 : x
  2. Step 2: Convert to fraction form
    120,506.76/166,375.50 = 77,506.20/x
  3. Step 3: Cross multiply
    120,506.76x = 166,375.50 × 77,506.20
  4. Step 4: Simplify right side
    120,506.76x = 12,895,132,778.10
  5. Step 5: Solve for x
    x = 12,895,132,778.10/120,506.76
  6. Step 6: Final answer
    x = 107,007.55

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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.