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Finding the Fourth Proportional to 203,149.28, 280,379.04 and 121,472

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Solution

The fourth proportional to 203,149.28, 280,379.04 and 121,472 is: 167,651.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,149.28 : 280,379.04 = 121,472 : x
  2. Step 2: Convert to fraction form
    203,149.28/280,379.04 = 121,472/x
  3. Step 3: Cross multiply
    203,149.28x = 280,379.04 × 121,472
  4. Step 4: Simplify right side
    203,149.28x = 34,058,202,746.88
  5. Step 5: Solve for x
    x = 34,058,202,746.88/203,149.28
  6. Step 6: Final answer
    x = 167,651.11

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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.