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Finding the Fourth Proportional to 80,492.80, 120,739.16 and 27,902.24

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Solution

The fourth proportional to 80,492.80, 120,739.16 and 27,902.24 is: 41,853.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,492.80 : 120,739.16 = 27,902.24 : x
  2. Step 2: Convert to fraction form
    80,492.80/120,739.16 = 27,902.24/x
  3. Step 3: Cross multiply
    80,492.80x = 120,739.16 × 27,902.24
  4. Step 4: Simplify right side
    80,492.80x = 3,368,893,019.72
  5. Step 5: Solve for x
    x = 3,368,893,019.72/80,492.80
  6. Step 6: Final answer
    x = 41,853.35

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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.