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Finding the Fourth Proportional to 217,140.20, 299,651.83 and 121,647.68

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Solution

The fourth proportional to 217,140.20, 299,651.83 and 121,647.68 is: 167,872.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,140.20 : 299,651.83 = 121,647.68 : x
  2. Step 2: Convert to fraction form
    217,140.20/299,651.83 = 121,647.68/x
  3. Step 3: Cross multiply
    217,140.20x = 299,651.83 × 121,647.68
  4. Step 4: Simplify right side
    217,140.20x = 36,451,948,124.88
  5. Step 5: Solve for x
    x = 36,451,948,124.88/217,140.20
  6. Step 6: Final answer
    x = 167,872.87

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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.