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Finding the Fourth Proportional to 100,689.45, 138,949.17 and 54,748.09

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Solution

The fourth proportional to 100,689.45, 138,949.17 and 54,748.09 is: 75,551.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,689.45 : 138,949.17 = 54,748.09 : x
  2. Step 2: Convert to fraction form
    100,689.45/138,949.17 = 54,748.09/x
  3. Step 3: Cross multiply
    100,689.45x = 138,949.17 × 54,748.09
  4. Step 4: Simplify right side
    100,689.45x = 7,607,201,940.92
  5. Step 5: Solve for x
    x = 7,607,201,940.92/100,689.45
  6. Step 6: Final answer
    x = 75,551.13

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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.