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Finding the Fourth Proportional to 101,538, 152,307 and 27,666

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Solution

The fourth proportional to 101,538, 152,307 and 27,666 is: 41,499

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,538 : 152,307 = 27,666 : x
  2. Step 2: Convert to fraction form
    101,538/152,307 = 27,666/x
  3. Step 3: Cross multiply
    101,538x = 152,307 × 27,666
  4. Step 4: Simplify right side
    101,538x = 4,213,725,462
  5. Step 5: Solve for x
    x = 4,213,725,462/101,538
  6. Step 6: Final answer
    x = 41,499

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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.