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Finding the Fourth Proportional to 67,129.78, 100,714.64 and 27,689.26

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Solution

The fourth proportional to 67,129.78, 100,714.64 and 27,689.26 is: 41,542.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,129.78 : 100,714.64 = 27,689.26 : x
  2. Step 2: Convert to fraction form
    67,129.78/100,714.64 = 27,689.26/x
  3. Step 3: Cross multiply
    67,129.78x = 100,714.64 × 27,689.26
  4. Step 4: Simplify right side
    67,129.78x = 2,788,713,852.77
  5. Step 5: Solve for x
    x = 2,788,713,852.77/67,129.78
  6. Step 6: Final answer
    x = 41,542.13

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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.