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Finding the Fourth Proportional to 209,053.87, 288,494.85 and 113,558.56

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Solution

The fourth proportional to 209,053.87, 288,494.85 and 113,558.56 is: 156,711.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,053.87 : 288,494.85 = 113,558.56 : x
  2. Step 2: Convert to fraction form
    209,053.87/288,494.85 = 113,558.56/x
  3. Step 3: Cross multiply
    209,053.87x = 288,494.85 × 113,558.56
  4. Step 4: Simplify right side
    209,053.87x = 32,761,059,733.42
  5. Step 5: Solve for x
    x = 32,761,059,733.42/209,053.87
  6. Step 6: Final answer
    x = 156,711.09

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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.