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Finding the Fourth Proportional to 74,138.40, 111,223.80 and 36,716.40

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Solution

The fourth proportional to 74,138.40, 111,223.80 and 36,716.40 is: 55,082.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,138.40 : 111,223.80 = 36,716.40 : x
  2. Step 2: Convert to fraction form
    74,138.40/111,223.80 = 36,716.40/x
  3. Step 3: Cross multiply
    74,138.40x = 111,223.80 × 36,716.40
  4. Step 4: Simplify right side
    74,138.40x = 4,083,737,530.32
  5. Step 5: Solve for x
    x = 4,083,737,530.32/74,138.40
  6. Step 6: Final answer
    x = 55,082.62

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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.