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Finding the Fourth Proportional to 85,253.04, 127,729.44 and 75,975.48

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Solution

The fourth proportional to 85,253.04, 127,729.44 and 75,975.48 is: 113,829.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,253.04 : 127,729.44 = 75,975.48 : x
  2. Step 2: Convert to fraction form
    85,253.04/127,729.44 = 75,975.48/x
  3. Step 3: Cross multiply
    85,253.04x = 127,729.44 × 75,975.48
  4. Step 4: Simplify right side
    85,253.04x = 9,704,305,514.13
  5. Step 5: Solve for x
    x = 9,704,305,514.13/85,253.04
  6. Step 6: Final answer
    x = 113,829.44

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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.