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Finding the Fourth Proportional to 100,578.80, 150,965.40 and 50,715.20

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Solution

The fourth proportional to 100,578.80, 150,965.40 and 50,715.20 is: 76,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,578.80 : 150,965.40 = 50,715.20 : x
  2. Step 2: Convert to fraction form
    100,578.80/150,965.40 = 50,715.20/x
  3. Step 3: Cross multiply
    100,578.80x = 150,965.40 × 50,715.20
  4. Step 4: Simplify right side
    100,578.80x = 7,656,240,454.08
  5. Step 5: Solve for x
    x = 7,656,240,454.08/100,578.80
  6. Step 6: Final answer
    x = 76,121.81

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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.