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Finding the Fourth Proportional to 203,020.16, 280,134.40 and 127,514.88

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Solution

The fourth proportional to 203,020.16, 280,134.40 and 127,514.88 is: 175,949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,020.16 : 280,134.40 = 127,514.88 : x
  2. Step 2: Convert to fraction form
    203,020.16/280,134.40 = 127,514.88/x
  3. Step 3: Cross multiply
    203,020.16x = 280,134.40 × 127,514.88
  4. Step 4: Simplify right side
    203,020.16x = 35,721,304,399.87
  5. Step 5: Solve for x
    x = 35,721,304,399.87/203,020.16
  6. Step 6: Final answer
    x = 175,949.54

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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.