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Finding the Fourth Proportional to 147,319.78, 203,301.33 and 80,251.78

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Solution

The fourth proportional to 147,319.78, 203,301.33 and 80,251.78 is: 110,747.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,319.78 : 203,301.33 = 80,251.78 : x
  2. Step 2: Convert to fraction form
    147,319.78/203,301.33 = 80,251.78/x
  3. Step 3: Cross multiply
    147,319.78x = 203,301.33 × 80,251.78
  4. Step 4: Simplify right side
    147,319.78x = 16,315,293,608.87
  5. Step 5: Solve for x
    x = 16,315,293,608.87/147,319.78
  6. Step 6: Final answer
    x = 110,747.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.