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Finding the Fourth Proportional to 259,801.74, 389,717.73 and 72,827.82

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Solution

The fourth proportional to 259,801.74, 389,717.73 and 72,827.82 is: 109,245.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,801.74 : 389,717.73 = 72,827.82 : x
  2. Step 2: Convert to fraction form
    259,801.74/389,717.73 = 72,827.82/x
  3. Step 3: Cross multiply
    259,801.74x = 389,717.73 × 72,827.82
  4. Step 4: Simplify right side
    259,801.74x = 28,382,292,691.25
  5. Step 5: Solve for x
    x = 28,382,292,691.25/259,801.74
  6. Step 6: Final answer
    x = 109,245.97

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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.