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Finding the Fourth Proportional to 101,105.28, 151,640.64 and 27,216

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Solution

The fourth proportional to 101,105.28, 151,640.64 and 27,216 is: 40,819.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,105.28 : 151,640.64 = 27,216 : x
  2. Step 2: Convert to fraction form
    101,105.28/151,640.64 = 27,216/x
  3. Step 3: Cross multiply
    101,105.28x = 151,640.64 × 27,216
  4. Step 4: Simplify right side
    101,105.28x = 4,127,051,658.24
  5. Step 5: Solve for x
    x = 4,127,051,658.24/101,105.28
  6. Step 6: Final answer
    x = 40,819.35

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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.