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Finding the Fourth Proportional to 80,146.74, 120,228.12 and 27,549.30

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Solution

The fourth proportional to 80,146.74, 120,228.12 and 27,549.30 is: 41,326.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,146.74 : 120,228.12 = 27,549.30 : x
  2. Step 2: Convert to fraction form
    80,146.74/120,228.12 = 27,549.30/x
  3. Step 3: Cross multiply
    80,146.74x = 120,228.12 × 27,549.30
  4. Step 4: Simplify right side
    80,146.74x = 3,312,200,546.32
  5. Step 5: Solve for x
    x = 3,312,200,546.32/80,146.74
  6. Step 6: Final answer
    x = 41,326.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.