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Finding the Fourth Proportional to 288,047.89, 431,933.80 and 136,118.52

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Solution

The fourth proportional to 288,047.89, 431,933.80 and 136,118.52 is: 204,112.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,047.89 : 431,933.80 = 136,118.52 : x
  2. Step 2: Convert to fraction form
    288,047.89/431,933.80 = 136,118.52/x
  3. Step 3: Cross multiply
    288,047.89x = 431,933.80 × 136,118.52
  4. Step 4: Simplify right side
    288,047.89x = 58,794,189,593.98
  5. Step 5: Solve for x
    x = 58,794,189,593.98/288,047.89
  6. Step 6: Final answer
    x = 204,112.55

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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.