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Finding the Fourth Proportional to 75,286.16, 112,942.20 and 40,216.40

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Solution

The fourth proportional to 75,286.16, 112,942.20 and 40,216.40 is: 60,331.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,286.16 : 112,942.20 = 40,216.40 : x
  2. Step 2: Convert to fraction form
    75,286.16/112,942.20 = 40,216.40/x
  3. Step 3: Cross multiply
    75,286.16x = 112,942.20 × 40,216.40
  4. Step 4: Simplify right side
    75,286.16x = 4,542,128,692.08
  5. Step 5: Solve for x
    x = 4,542,128,692.08/75,286.16
  6. Step 6: Final answer
    x = 60,331.52

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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.