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Finding the Fourth Proportional to 101,540, 152,310 and 27,668

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Solution

The fourth proportional to 101,540, 152,310 and 27,668 is: 41,502

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,540 : 152,310 = 27,668 : x
  2. Step 2: Convert to fraction form
    101,540/152,310 = 27,668/x
  3. Step 3: Cross multiply
    101,540x = 152,310 × 27,668
  4. Step 4: Simplify right side
    101,540x = 4,214,113,080
  5. Step 5: Solve for x
    x = 4,214,113,080/101,540
  6. Step 6: Final answer
    x = 41,502

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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.