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Finding the Fourth Proportional to 147,649.80, 203,756.66 and 80,581.80

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Solution

The fourth proportional to 147,649.80, 203,756.66 and 80,581.80 is: 111,202.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,649.80 : 203,756.66 = 80,581.80 : x
  2. Step 2: Convert to fraction form
    147,649.80/203,756.66 = 80,581.80/x
  3. Step 3: Cross multiply
    147,649.80x = 203,756.66 × 80,581.80
  4. Step 4: Simplify right side
    147,649.80x = 16,419,078,424.79
  5. Step 5: Solve for x
    x = 16,419,078,424.79/147,649.80
  6. Step 6: Final answer
    x = 111,202.85

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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.