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Finding the Fourth Proportional to 209,242.78, 288,751.62 and 113,751.88

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Solution

The fourth proportional to 209,242.78, 288,751.62 and 113,751.88 is: 156,975.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,242.78 : 288,751.62 = 113,751.88 : x
  2. Step 2: Convert to fraction form
    209,242.78/288,751.62 = 113,751.88/x
  3. Step 3: Cross multiply
    209,242.78x = 288,751.62 × 113,751.88
  4. Step 4: Simplify right side
    209,242.78x = 32,846,038,184.29
  5. Step 5: Solve for x
    x = 32,846,038,184.29/209,242.78
  6. Step 6: Final answer
    x = 156,975.73

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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.