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Finding the Fourth Proportional to 84,474, 126,754.74 and 42,921

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Solution

The fourth proportional to 84,474, 126,754.74 and 42,921 is: 64,403.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,474 : 126,754.74 = 42,921 : x
  2. Step 2: Convert to fraction form
    84,474/126,754.74 = 42,921/x
  3. Step 3: Cross multiply
    84,474x = 126,754.74 × 42,921
  4. Step 4: Simplify right side
    84,474x = 5,440,440,195.54
  5. Step 5: Solve for x
    x = 5,440,440,195.54/84,474
  6. Step 6: Final answer
    x = 64,403.72

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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.