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Finding the Fourth Proportional to 218,578.92, 301,630.78 and 121,780.50

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Solution

The fourth proportional to 218,578.92, 301,630.78 and 121,780.50 is: 168,052.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,578.92 : 301,630.78 = 121,780.50 : x
  2. Step 2: Convert to fraction form
    218,578.92/301,630.78 = 121,780.50/x
  3. Step 3: Cross multiply
    218,578.92x = 301,630.78 × 121,780.50
  4. Step 4: Simplify right side
    218,578.92x = 36,732,747,203.79
  5. Step 5: Solve for x
    x = 36,732,747,203.79/218,578.92
  6. Step 6: Final answer
    x = 168,052.56

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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.