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Finding the Fourth Proportional to 53,902.40, 80,864.40 and 45,197.60

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Solution

The fourth proportional to 53,902.40, 80,864.40 and 45,197.60 is: 67,805.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,902.40 : 80,864.40 = 45,197.60 : x
  2. Step 2: Convert to fraction form
    53,902.40/80,864.40 = 45,197.60/x
  3. Step 3: Cross multiply
    53,902.40x = 80,864.40 × 45,197.60
  4. Step 4: Simplify right side
    53,902.40x = 3,654,876,805.44
  5. Step 5: Solve for x
    x = 3,654,876,805.44/53,902.40
  6. Step 6: Final answer
    x = 67,805.46

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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.