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Finding the Fourth Proportional to 48,606, 72,909 and 15,774

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Solution

The fourth proportional to 48,606, 72,909 and 15,774 is: 23,661

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,606 : 72,909 = 15,774 : x
  2. Step 2: Convert to fraction form
    48,606/72,909 = 15,774/x
  3. Step 3: Cross multiply
    48,606x = 72,909 × 15,774
  4. Step 4: Simplify right side
    48,606x = 1,150,066,566
  5. Step 5: Solve for x
    x = 1,150,066,566/48,606
  6. Step 6: Final answer
    x = 23,661

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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.