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Finding the Fourth Proportional to 89,297.80, 133,716.30 and 70,865.80

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Solution

The fourth proportional to 89,297.80, 133,716.30 and 70,865.80 is: 106,115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,297.80 : 133,716.30 = 70,865.80 : x
  2. Step 2: Convert to fraction form
    89,297.80/133,716.30 = 70,865.80/x
  3. Step 3: Cross multiply
    89,297.80x = 133,716.30 × 70,865.80
  4. Step 4: Simplify right side
    89,297.80x = 9,475,912,572.54
  5. Step 5: Solve for x
    x = 9,475,912,572.54/89,297.80
  6. Step 6: Final answer
    x = 106,115.86

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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.