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Finding the Fourth Proportional to 138,016.80, 207,146.70 and 81,786.60

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Solution

The fourth proportional to 138,016.80, 207,146.70 and 81,786.60 is: 122,751.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,016.80 : 207,146.70 = 81,786.60 : x
  2. Step 2: Convert to fraction form
    138,016.80/207,146.70 = 81,786.60/x
  3. Step 3: Cross multiply
    138,016.80x = 207,146.70 × 81,786.60
  4. Step 4: Simplify right side
    138,016.80x = 16,941,824,294.22
  5. Step 5: Solve for x
    x = 16,941,824,294.22/138,016.80
  6. Step 6: Final answer
    x = 122,751.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.