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Finding the Fourth Proportional to 257,067.80, 385,659.30 and 99,282.20

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Solution

The fourth proportional to 257,067.80, 385,659.30 and 99,282.20 is: 148,945.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,067.80 : 385,659.30 = 99,282.20 : x
  2. Step 2: Convert to fraction form
    257,067.80/385,659.30 = 99,282.20/x
  3. Step 3: Cross multiply
    257,067.80x = 385,659.30 × 99,282.20
  4. Step 4: Simplify right side
    257,067.80x = 38,289,103,754.46
  5. Step 5: Solve for x
    x = 38,289,103,754.46/257,067.80
  6. Step 6: Final answer
    x = 148,945.55

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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.