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Finding the Fourth Proportional to 100,382.40, 150,593.04 and 50,421.60

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Solution

The fourth proportional to 100,382.40, 150,593.04 and 50,421.60 is: 75,642.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,382.40 : 150,593.04 = 50,421.60 : x
  2. Step 2: Convert to fraction form
    100,382.40/150,593.04 = 50,421.60/x
  3. Step 3: Cross multiply
    100,382.40x = 150,593.04 × 50,421.60
  4. Step 4: Simplify right side
    100,382.40x = 7,593,142,025.66
  5. Step 5: Solve for x
    x = 7,593,142,025.66/100,382.40
  6. Step 6: Final answer
    x = 75,642.16

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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.