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Finding the Fourth Proportional to 80,265.60, 120,434.40 and 27,712.80

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Solution

The fourth proportional to 80,265.60, 120,434.40 and 27,712.80 is: 41,581.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,265.60 : 120,434.40 = 27,712.80 : x
  2. Step 2: Convert to fraction form
    80,265.60/120,434.40 = 27,712.80/x
  3. Step 3: Cross multiply
    80,265.60x = 120,434.40 × 27,712.80
  4. Step 4: Simplify right side
    80,265.60x = 3,337,574,440.32
  5. Step 5: Solve for x
    x = 3,337,574,440.32/80,265.60
  6. Step 6: Final answer
    x = 41,581.63

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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.