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Finding the Fourth Proportional to 81,907.20, 122,866.38 and 27,849.87

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Solution

The fourth proportional to 81,907.20, 122,866.38 and 27,849.87 is: 41,776.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,907.20 : 122,866.38 = 27,849.87 : x
  2. Step 2: Convert to fraction form
    81,907.20/122,866.38 = 27,849.87/x
  3. Step 3: Cross multiply
    81,907.20x = 122,866.38 × 27,849.87
  4. Step 4: Simplify right side
    81,907.20x = 3,421,812,710.37
  5. Step 5: Solve for x
    x = 3,421,812,710.37/81,907.20
  6. Step 6: Final answer
    x = 41,776.70

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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.