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Finding the Fourth Proportional to 81,897.87, 122,789.81 and 36,280.79

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Solution

The fourth proportional to 81,897.87, 122,789.81 and 36,280.79 is: 54,395.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,897.87 : 122,789.81 = 36,280.79 : x
  2. Step 2: Convert to fraction form
    81,897.87/122,789.81 = 36,280.79/x
  3. Step 3: Cross multiply
    81,897.87x = 122,789.81 × 36,280.79
  4. Step 4: Simplify right side
    81,897.87x = 4,454,911,734.58
  5. Step 5: Solve for x
    x = 4,454,911,734.58/81,897.87
  6. Step 6: Final answer
    x = 54,395.94

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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.