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Finding the Fourth Proportional to 53,909.60, 80,864.40 and 33,144.80

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Solution

The fourth proportional to 53,909.60, 80,864.40 and 33,144.80 is: 49,717.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,909.60 : 80,864.40 = 33,144.80 : x
  2. Step 2: Convert to fraction form
    53,909.60/80,864.40 = 33,144.80/x
  3. Step 3: Cross multiply
    53,909.60x = 80,864.40 × 33,144.80
  4. Step 4: Simplify right side
    53,909.60x = 2,680,234,365.12
  5. Step 5: Solve for x
    x = 2,680,234,365.12/53,909.60
  6. Step 6: Final answer
    x = 49,717.20

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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.