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Finding the Fourth Proportional to 121,076.56, 166,990.98 and 78,648.76

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Solution

The fourth proportional to 121,076.56, 166,990.98 and 78,648.76 is: 108,473.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,076.56 : 166,990.98 = 78,648.76 : x
  2. Step 2: Convert to fraction form
    121,076.56/166,990.98 = 78,648.76/x
  3. Step 3: Cross multiply
    121,076.56x = 166,990.98 × 78,648.76
  4. Step 4: Simplify right side
    121,076.56x = 13,133,633,508.18
  5. Step 5: Solve for x
    x = 13,133,633,508.18/121,076.56
  6. Step 6: Final answer
    x = 108,473.79

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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.