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Finding the Fourth Proportional to 100,636.38, 138,878.28 and 55,314.30

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Solution

The fourth proportional to 100,636.38, 138,878.28 and 55,314.30 is: 76,333.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,636.38 : 138,878.28 = 55,314.30 : x
  2. Step 2: Convert to fraction form
    100,636.38/138,878.28 = 55,314.30/x
  3. Step 3: Cross multiply
    100,636.38x = 138,878.28 × 55,314.30
  4. Step 4: Simplify right side
    100,636.38x = 7,681,954,843.40
  5. Step 5: Solve for x
    x = 7,681,954,843.40/100,636.38
  6. Step 6: Final answer
    x = 76,333.78

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1.5x scale

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.