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Finding the Fourth Proportional to 81,265.90, 121,788.12 and 49,687

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Solution

The fourth proportional to 81,265.90, 121,788.12 and 49,687 is: 74,462.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,265.90 : 121,788.12 = 49,687 : x
  2. Step 2: Convert to fraction form
    81,265.90/121,788.12 = 49,687/x
  3. Step 3: Cross multiply
    81,265.90x = 121,788.12 × 49,687
  4. Step 4: Simplify right side
    81,265.90x = 6,051,286,318.44
  5. Step 5: Solve for x
    x = 6,051,286,318.44/81,265.90
  6. Step 6: Final answer
    x = 74,462.80

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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.