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Finding the Fourth Proportional to 174,540.80, 261,638.40 and 85,721.60

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Solution

The fourth proportional to 174,540.80, 261,638.40 and 85,721.60 is: 128,497.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,540.80 : 261,638.40 = 85,721.60 : x
  2. Step 2: Convert to fraction form
    174,540.80/261,638.40 = 85,721.60/x
  3. Step 3: Cross multiply
    174,540.80x = 261,638.40 × 85,721.60
  4. Step 4: Simplify right side
    174,540.80x = 22,428,062,269.44
  5. Step 5: Solve for x
    x = 22,428,062,269.44/174,540.80
  6. Step 6: Final answer
    x = 128,497.53

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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.