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Finding the Fourth Proportional to 252,105.84, 378,157.68 and 74,613.60

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Solution

The fourth proportional to 252,105.84, 378,157.68 and 74,613.60 is: 111,920.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,105.84 : 378,157.68 = 74,613.60 : x
  2. Step 2: Convert to fraction form
    252,105.84/378,157.68 = 74,613.60/x
  3. Step 3: Cross multiply
    252,105.84x = 378,157.68 × 74,613.60
  4. Step 4: Simplify right side
    252,105.84x = 28,215,705,872.45
  5. Step 5: Solve for x
    x = 28,215,705,872.45/252,105.84
  6. Step 6: Final answer
    x = 111,920.08

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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.