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Finding the Fourth Proportional to 82,691.91, 124,067.03 and 30,106.71

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Solution

The fourth proportional to 82,691.91, 124,067.03 and 30,106.71 is: 45,170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,691.91 : 124,067.03 = 30,106.71 : x
  2. Step 2: Convert to fraction form
    82,691.91/124,067.03 = 30,106.71/x
  3. Step 3: Cross multiply
    82,691.91x = 124,067.03 × 30,106.71
  4. Step 4: Simplify right side
    82,691.91x = 3,735,249,942.24
  5. Step 5: Solve for x
    x = 3,735,249,942.24/82,691.91
  6. Step 6: Final answer
    x = 45,170.68

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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.