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Finding the Fourth Proportional to 203,265.64, 304,849.42 and 84,872.80

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Solution

The fourth proportional to 203,265.64, 304,849.42 and 84,872.80 is: 127,288.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,265.64 : 304,849.42 = 84,872.80 : x
  2. Step 2: Convert to fraction form
    203,265.64/304,849.42 = 84,872.80/x
  3. Step 3: Cross multiply
    203,265.64x = 304,849.42 × 84,872.80
  4. Step 4: Simplify right side
    203,265.64x = 25,873,423,853.78
  5. Step 5: Solve for x
    x = 25,873,423,853.78/203,265.64
  6. Step 6: Final answer
    x = 127,288.72

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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.