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Finding the Fourth Proportional to 209,242.48, 288,760.26 and 113,755.72

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Solution

The fourth proportional to 209,242.48, 288,760.26 and 113,755.72 is: 156,985.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,242.48 : 288,760.26 = 113,755.72 : x
  2. Step 2: Convert to fraction form
    209,242.48/288,760.26 = 113,755.72/x
  3. Step 3: Cross multiply
    209,242.48x = 288,760.26 × 113,755.72
  4. Step 4: Simplify right side
    209,242.48x = 32,848,131,283.69
  5. Step 5: Solve for x
    x = 32,848,131,283.69/209,242.48
  6. Step 6: Final answer
    x = 156,985.96

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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.