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Finding the Fourth Proportional to 100,689.85, 138,960.84 and 55,375.81

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Solution

The fourth proportional to 100,689.85, 138,960.84 and 55,375.81 is: 76,423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,689.85 : 138,960.84 = 55,375.81 : x
  2. Step 2: Convert to fraction form
    100,689.85/138,960.84 = 55,375.81/x
  3. Step 3: Cross multiply
    100,689.85x = 138,960.84 × 55,375.81
  4. Step 4: Simplify right side
    100,689.85x = 7,695,069,073.28
  5. Step 5: Solve for x
    x = 7,695,069,073.28/100,689.85
  6. Step 6: Final answer
    x = 76,423.48

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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.