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Finding the Fourth Proportional to 209,290.92, 288,819.47 and 113,797.64

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Solution

The fourth proportional to 209,290.92, 288,819.47 and 113,797.64 is: 157,039.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,290.92 : 288,819.47 = 113,797.64 : x
  2. Step 2: Convert to fraction form
    209,290.92/288,819.47 = 113,797.64/x
  3. Step 3: Cross multiply
    209,290.92x = 288,819.47 × 113,797.64
  4. Step 4: Simplify right side
    209,290.92x = 32,866,975,078.59
  5. Step 5: Solve for x
    x = 32,866,975,078.59/209,290.92
  6. Step 6: Final answer
    x = 157,039.66

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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.