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Finding the Fourth Proportional to 80,966.80, 121,392.60 and 31,027.60

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Solution

The fourth proportional to 80,966.80, 121,392.60 and 31,027.60 is: 46,519.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,966.80 : 121,392.60 = 31,027.60 : x
  2. Step 2: Convert to fraction form
    80,966.80/121,392.60 = 31,027.60/x
  3. Step 3: Cross multiply
    80,966.80x = 121,392.60 × 31,027.60
  4. Step 4: Simplify right side
    80,966.80x = 3,766,521,035.76
  5. Step 5: Solve for x
    x = 3,766,521,035.76/80,966.80
  6. Step 6: Final answer
    x = 46,519.33

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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.