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Finding the Fourth Proportional to 288,046.89, 431,932.30 and 136,117.52

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Solution

The fourth proportional to 288,046.89, 431,932.30 and 136,117.52 is: 204,111.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,046.89 : 431,932.30 = 136,117.52 : x
  2. Step 2: Convert to fraction form
    288,046.89/431,932.30 = 136,117.52/x
  3. Step 3: Cross multiply
    288,046.89x = 431,932.30 × 136,117.52
  4. Step 4: Simplify right side
    288,046.89x = 58,793,550,983.94
  5. Step 5: Solve for x
    x = 58,793,550,983.94/288,046.89
  6. Step 6: Final answer
    x = 204,111.04

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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.