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Finding the Fourth Proportional to 217,712.82, 300,423.15 and 122,200.86

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Solution

The fourth proportional to 217,712.82, 300,423.15 and 122,200.86 is: 168,625.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,712.82 : 300,423.15 = 122,200.86 : x
  2. Step 2: Convert to fraction form
    217,712.82/300,423.15 = 122,200.86/x
  3. Step 3: Cross multiply
    217,712.82x = 300,423.15 × 122,200.86
  4. Step 4: Simplify right side
    217,712.82x = 36,711,967,293.91
  5. Step 5: Solve for x
    x = 36,711,967,293.91/217,712.82
  6. Step 6: Final answer
    x = 168,625.66

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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.