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Finding the Fourth Proportional to 235,023.48, 352,535.22 and 85,229.78

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Solution

The fourth proportional to 235,023.48, 352,535.22 and 85,229.78 is: 127,844.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,023.48 : 352,535.22 = 85,229.78 : x
  2. Step 2: Convert to fraction form
    235,023.48/352,535.22 = 85,229.78/x
  3. Step 3: Cross multiply
    235,023.48x = 352,535.22 × 85,229.78
  4. Step 4: Simplify right side
    235,023.48x = 30,046,497,480.18
  5. Step 5: Solve for x
    x = 30,046,497,480.18/235,023.48
  6. Step 6: Final answer
    x = 127,844.66

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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.