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Finding the Fourth Proportional to 85,142.31, 127,713.49 and 35,167.48

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Solution

The fourth proportional to 85,142.31, 127,713.49 and 35,167.48 is: 52,751.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,142.31 : 127,713.49 = 35,167.48 : x
  2. Step 2: Convert to fraction form
    85,142.31/127,713.49 = 35,167.48/x
  3. Step 3: Cross multiply
    85,142.31x = 127,713.49 × 35,167.48
  4. Step 4: Simplify right side
    85,142.31x = 4,491,361,605.31
  5. Step 5: Solve for x
    x = 4,491,361,605.31/85,142.31
  6. Step 6: Final answer
    x = 52,751.23

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1.5x scale

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.