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Finding the Fourth Proportional to 100,178.69, 150,296.12 and 40,249.25

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Solution

The fourth proportional to 100,178.69, 150,296.12 and 40,249.25 is: 60,385.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,178.69 : 150,296.12 = 40,249.25 : x
  2. Step 2: Convert to fraction form
    100,178.69/150,296.12 = 40,249.25/x
  3. Step 3: Cross multiply
    100,178.69x = 150,296.12 × 40,249.25
  4. Step 4: Simplify right side
    100,178.69x = 6,049,305,155.18
  5. Step 5: Solve for x
    x = 6,049,305,155.18/100,178.69
  6. Step 6: Final answer
    x = 60,385.15

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1.5x scale

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.