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Finding the Fourth Proportional to 85,140.31, 127,710.49 and 35,165.48

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Solution

The fourth proportional to 85,140.31, 127,710.49 and 35,165.48 is: 52,748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,140.31 : 127,710.49 = 35,165.48 : x
  2. Step 2: Convert to fraction form
    85,140.31/127,710.49 = 35,165.48/x
  3. Step 3: Cross multiply
    85,140.31x = 127,710.49 × 35,165.48
  4. Step 4: Simplify right side
    85,140.31x = 4,491,000,634.31
  5. Step 5: Solve for x
    x = 4,491,000,634.31/85,140.31
  6. Step 6: Final answer
    x = 52,748.23

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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.