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Finding the Fourth Proportional to 126,085.60, 188,878.80 and 81,743.20

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Solution

The fourth proportional to 126,085.60, 188,878.80 and 81,743.20 is: 122,452.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,085.60 : 188,878.80 = 81,743.20 : x
  2. Step 2: Convert to fraction form
    126,085.60/188,878.80 = 81,743.20/x
  3. Step 3: Cross multiply
    126,085.60x = 188,878.80 × 81,743.20
  4. Step 4: Simplify right side
    126,085.60x = 15,439,557,524.16
  5. Step 5: Solve for x
    x = 15,439,557,524.16/126,085.60
  6. Step 6: Final answer
    x = 122,452.98

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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.