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Finding the Fourth Proportional to 138,768.20, 208,152.30 and 75,563.90

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Solution

The fourth proportional to 138,768.20, 208,152.30 and 75,563.90 is: 113,345.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,768.20 : 208,152.30 = 75,563.90 : x
  2. Step 2: Convert to fraction form
    138,768.20/208,152.30 = 75,563.90/x
  3. Step 3: Cross multiply
    138,768.20x = 208,152.30 × 75,563.90
  4. Step 4: Simplify right side
    138,768.20x = 15,728,799,581.97
  5. Step 5: Solve for x
    x = 15,728,799,581.97/138,768.20
  6. Step 6: Final answer
    x = 113,345.85

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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.