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Finding the Fourth Proportional to 75,885.50, 104,714.51 and 41,891.78

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Solution

The fourth proportional to 75,885.50, 104,714.51 and 41,891.78 is: 57,806.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,885.50 : 104,714.51 = 41,891.78 : x
  2. Step 2: Convert to fraction form
    75,885.50/104,714.51 = 41,891.78/x
  3. Step 3: Cross multiply
    75,885.50x = 104,714.51 × 41,891.78
  4. Step 4: Simplify right side
    75,885.50x = 4,386,677,006.27
  5. Step 5: Solve for x
    x = 4,386,677,006.27/75,885.50
  6. Step 6: Final answer
    x = 57,806.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.