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Finding the Fourth Proportional to 144,729.81, 199,724.81 and 81,067.41

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Solution

The fourth proportional to 144,729.81, 199,724.81 and 81,067.41 is: 111,871.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,729.81 : 199,724.81 = 81,067.41 : x
  2. Step 2: Convert to fraction form
    144,729.81/199,724.81 = 81,067.41/x
  3. Step 3: Cross multiply
    144,729.81x = 199,724.81 × 81,067.41
  4. Step 4: Simplify right side
    144,729.81x = 16,191,172,654.11
  5. Step 5: Solve for x
    x = 16,191,172,654.11/144,729.81
  6. Step 6: Final answer
    x = 111,871.72

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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.