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Finding the Fourth Proportional to 100,082.98, 150,124.57 and 40,918.65

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Solution

The fourth proportional to 100,082.98, 150,124.57 and 40,918.65 is: 61,378.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,082.98 : 150,124.57 = 40,918.65 : x
  2. Step 2: Convert to fraction form
    100,082.98/150,124.57 = 40,918.65/x
  3. Step 3: Cross multiply
    100,082.98x = 150,124.57 × 40,918.65
  4. Step 4: Simplify right side
    100,082.98x = 6,142,895,145.58
  5. Step 5: Solve for x
    x = 6,142,895,145.58/100,082.98
  6. Step 6: Final answer
    x = 61,378.02

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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.