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Finding the Fourth Proportional to 235,407.12, 352,999.68 and 85,542

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Solution

The fourth proportional to 235,407.12, 352,999.68 and 85,542 is: 128,272.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,407.12 : 352,999.68 = 85,542 : x
  2. Step 2: Convert to fraction form
    235,407.12/352,999.68 = 85,542/x
  3. Step 3: Cross multiply
    235,407.12x = 352,999.68 × 85,542
  4. Step 4: Simplify right side
    235,407.12x = 30,196,298,626.56
  5. Step 5: Solve for x
    x = 30,196,298,626.56/235,407.12
  6. Step 6: Final answer
    x = 128,272.66

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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.