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Finding the Fourth Proportional to 121,006.72, 166,844.64 and 78,549.76

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Solution

The fourth proportional to 121,006.72, 166,844.64 and 78,549.76 is: 108,304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,006.72 : 166,844.64 = 78,549.76 : x
  2. Step 2: Convert to fraction form
    121,006.72/166,844.64 = 78,549.76/x
  3. Step 3: Cross multiply
    121,006.72x = 166,844.64 × 78,549.76
  4. Step 4: Simplify right side
    121,006.72x = 13,105,606,429.29
  5. Step 5: Solve for x
    x = 13,105,606,429.29/121,006.72
  6. Step 6: Final answer
    x = 108,304.78

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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.