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Finding the Fourth Proportional to 209,287.24, 288,814.88 and 113,794

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Solution

The fourth proportional to 209,287.24, 288,814.88 and 113,794 is: 157,034.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,287.24 : 288,814.88 = 113,794 : x
  2. Step 2: Convert to fraction form
    209,287.24/288,814.88 = 113,794/x
  3. Step 3: Cross multiply
    209,287.24x = 288,814.88 × 113,794
  4. Step 4: Simplify right side
    209,287.24x = 32,865,400,454.72
  5. Step 5: Solve for x
    x = 32,865,400,454.72/209,287.24
  6. Step 6: Final answer
    x = 157,034.90

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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.