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Finding the Fourth Proportional to 209,241.42, 288,753.42 and 113,748.12

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Solution

The fourth proportional to 209,241.42, 288,753.42 and 113,748.12 is: 156,972.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,241.42 : 288,753.42 = 113,748.12 : x
  2. Step 2: Convert to fraction form
    209,241.42/288,753.42 = 113,748.12/x
  3. Step 3: Cross multiply
    209,241.42x = 288,753.42 × 113,748.12
  4. Step 4: Simplify right side
    209,241.42x = 32,845,158,668.57
  5. Step 5: Solve for x
    x = 32,845,158,668.57/209,241.42
  6. Step 6: Final answer
    x = 156,972.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.