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Finding the Fourth Proportional to 121,500, 167,652.18 and 67,780.80

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Solution

The fourth proportional to 121,500, 167,652.18 and 67,780.80 is: 93,527.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,500 : 167,652.18 = 67,780.80 : x
  2. Step 2: Convert to fraction form
    121,500/167,652.18 = 67,780.80/x
  3. Step 3: Cross multiply
    121,500x = 167,652.18 × 67,780.80
  4. Step 4: Simplify right side
    121,500x = 11,363,598,882.14
  5. Step 5: Solve for x
    x = 11,363,598,882.14/121,500
  6. Step 6: Final answer
    x = 93,527.56

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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.