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Finding the Fourth Proportional to 81,098.69, 121,651.42 and 27,827.30

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Solution

The fourth proportional to 81,098.69, 121,651.42 and 27,827.30 is: 41,742.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,098.69 : 121,651.42 = 27,827.30 : x
  2. Step 2: Convert to fraction form
    81,098.69/121,651.42 = 27,827.30/x
  3. Step 3: Cross multiply
    81,098.69x = 121,651.42 × 27,827.30
  4. Step 4: Simplify right side
    81,098.69x = 3,385,230,162.21
  5. Step 5: Solve for x
    x = 3,385,230,162.21/81,098.69
  6. Step 6: Final answer
    x = 41,742.10

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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.