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Finding the Fourth Proportional to 100,753.20, 151,135.20 and 30,627.18

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Solution

The fourth proportional to 100,753.20, 151,135.20 and 30,627.18 is: 45,942.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,753.20 : 151,135.20 = 30,627.18 : x
  2. Step 2: Convert to fraction form
    100,753.20/151,135.20 = 30,627.18/x
  3. Step 3: Cross multiply
    100,753.20x = 151,135.20 × 30,627.18
  4. Step 4: Simplify right side
    100,753.20x = 4,628,844,974.74
  5. Step 5: Solve for x
    x = 4,628,844,974.74/100,753.20
  6. Step 6: Final answer
    x = 45,942.41

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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.