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Finding the Fourth Proportional to 133,396.40, 200,029.80 and 74,169.20

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Solution

The fourth proportional to 133,396.40, 200,029.80 and 74,169.20 is: 111,217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,396.40 : 200,029.80 = 74,169.20 : x
  2. Step 2: Convert to fraction form
    133,396.40/200,029.80 = 74,169.20/x
  3. Step 3: Cross multiply
    133,396.40x = 200,029.80 × 74,169.20
  4. Step 4: Simplify right side
    133,396.40x = 14,836,050,242.16
  5. Step 5: Solve for x
    x = 14,836,050,242.16/133,396.40
  6. Step 6: Final answer
    x = 111,217.77

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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.