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Finding the Fourth Proportional to 101,093.70, 151,640.55 and 77,765.70

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Solution

The fourth proportional to 101,093.70, 151,640.55 and 77,765.70 is: 116,648.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,093.70 : 151,640.55 = 77,765.70 : x
  2. Step 2: Convert to fraction form
    101,093.70/151,640.55 = 77,765.70/x
  3. Step 3: Cross multiply
    101,093.70x = 151,640.55 × 77,765.70
  4. Step 4: Simplify right side
    101,093.70x = 11,792,433,519.14
  5. Step 5: Solve for x
    x = 11,792,433,519.14/101,093.70
  6. Step 6: Final answer
    x = 116,648.55

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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.