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Finding the Fourth Proportional to 85,319.20, 127,978.80 and 75,296.80

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Solution

The fourth proportional to 85,319.20, 127,978.80 and 75,296.80 is: 112,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,319.20 : 127,978.80 = 75,296.80 : x
  2. Step 2: Convert to fraction form
    85,319.20/127,978.80 = 75,296.80/x
  3. Step 3: Cross multiply
    85,319.20x = 127,978.80 × 75,296.80
  4. Step 4: Simplify right side
    85,319.20x = 9,636,394,107.84
  5. Step 5: Solve for x
    x = 9,636,394,107.84/85,319.20
  6. Step 6: Final answer
    x = 112,945.20

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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.