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Finding the Fourth Proportional to 100,684.38, 138,975.42 and 64,874.28

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Solution

The fourth proportional to 100,684.38, 138,975.42 and 64,874.28 is: 89,546.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,684.38 : 138,975.42 = 64,874.28 : x
  2. Step 2: Convert to fraction form
    100,684.38/138,975.42 = 64,874.28/x
  3. Step 3: Cross multiply
    100,684.38x = 138,975.42 × 64,874.28
  4. Step 4: Simplify right side
    100,684.38x = 9,015,930,310.20
  5. Step 5: Solve for x
    x = 9,015,930,310.20/100,684.38
  6. Step 6: Final answer
    x = 89,546.47

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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.