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Finding the Fourth Proportional to 100,034.18, 150,051.41 and 40,869.90

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Solution

The fourth proportional to 100,034.18, 150,051.41 and 40,869.90 is: 61,304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,034.18 : 150,051.41 = 40,869.90 : x
  2. Step 2: Convert to fraction form
    100,034.18/150,051.41 = 40,869.90/x
  3. Step 3: Cross multiply
    100,034.18x = 150,051.41 × 40,869.90
  4. Step 4: Simplify right side
    100,034.18x = 6,132,586,121.56
  5. Step 5: Solve for x
    x = 6,132,586,121.56/100,034.18
  6. Step 6: Final answer
    x = 61,304.91

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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.