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Finding the Fourth Proportional to 203,423.76, 280,734.36 and 126,988.12

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Solution

The fourth proportional to 203,423.76, 280,734.36 and 126,988.12 is: 175,249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,423.76 : 280,734.36 = 126,988.12 : x
  2. Step 2: Convert to fraction form
    203,423.76/280,734.36 = 126,988.12/x
  3. Step 3: Cross multiply
    203,423.76x = 280,734.36 × 126,988.12
  4. Step 4: Simplify right side
    203,423.76x = 35,649,928,595.80
  5. Step 5: Solve for x
    x = 35,649,928,595.80/203,423.76
  6. Step 6: Final answer
    x = 175,249.58

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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.