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Finding the Fourth Proportional to 77,288, 115,898.24 and 27,351.50

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Solution

The fourth proportional to 77,288, 115,898.24 and 27,351.50 is: 41,015.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,288 : 115,898.24 = 27,351.50 : x
  2. Step 2: Convert to fraction form
    77,288/115,898.24 = 27,351.50/x
  3. Step 3: Cross multiply
    77,288x = 115,898.24 × 27,351.50
  4. Step 4: Simplify right side
    77,288x = 3,169,990,711.36
  5. Step 5: Solve for x
    x = 3,169,990,711.36/77,288
  6. Step 6: Final answer
    x = 41,015.30

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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.