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Finding the Fourth Proportional to 68,476.42, 102,714.59 and 25,789.89

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Solution

The fourth proportional to 68,476.42, 102,714.59 and 25,789.89 is: 38,684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,476.42 : 102,714.59 = 25,789.89 : x
  2. Step 2: Convert to fraction form
    68,476.42/102,714.59 = 25,789.89/x
  3. Step 3: Cross multiply
    68,476.42x = 102,714.59 × 25,789.89
  4. Step 4: Simplify right side
    68,476.42x = 2,648,998,041.97
  5. Step 5: Solve for x
    x = 2,648,998,041.97/68,476.42
  6. Step 6: Final answer
    x = 38,684.82

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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.