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Finding the Fourth Proportional to 147,561, 203,634.18 and 80,493

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Solution

The fourth proportional to 147,561, 203,634.18 and 80,493 is: 111,080.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,561 : 203,634.18 = 80,493 : x
  2. Step 2: Convert to fraction form
    147,561/203,634.18 = 80,493/x
  3. Step 3: Cross multiply
    147,561x = 203,634.18 × 80,493
  4. Step 4: Simplify right side
    147,561x = 16,391,126,050.74
  5. Step 5: Solve for x
    x = 16,391,126,050.74/147,561
  6. Step 6: Final answer
    x = 111,080.34

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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.