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Finding the Fourth Proportional to 101,210, 151,815 and 27,338

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Solution

The fourth proportional to 101,210, 151,815 and 27,338 is: 41,007

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,210 : 151,815 = 27,338 : x
  2. Step 2: Convert to fraction form
    101,210/151,815 = 27,338/x
  3. Step 3: Cross multiply
    101,210x = 151,815 × 27,338
  4. Step 4: Simplify right side
    101,210x = 4,150,318,470
  5. Step 5: Solve for x
    x = 4,150,318,470/101,210
  6. Step 6: Final answer
    x = 41,007

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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.