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Finding the Fourth Proportional to 77,287, 115,896.74 and 27,350.50

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Solution

The fourth proportional to 77,287, 115,896.74 and 27,350.50 is: 41,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,287 : 115,896.74 = 27,350.50 : x
  2. Step 2: Convert to fraction form
    77,287/115,896.74 = 27,350.50/x
  3. Step 3: Cross multiply
    77,287x = 115,896.74 × 27,350.50
  4. Step 4: Simplify right side
    77,287x = 3,169,833,787.37
  5. Step 5: Solve for x
    x = 3,169,833,787.37/77,287
  6. Step 6: Final answer
    x = 41,013.80

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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.