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Finding the Fourth Proportional to 45,398, 68,097 and 12,566

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Solution

The fourth proportional to 45,398, 68,097 and 12,566 is: 18,849

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,398 : 68,097 = 12,566 : x
  2. Step 2: Convert to fraction form
    45,398/68,097 = 12,566/x
  3. Step 3: Cross multiply
    45,398x = 68,097 × 12,566
  4. Step 4: Simplify right side
    45,398x = 855,706,902
  5. Step 5: Solve for x
    x = 855,706,902/45,398
  6. Step 6: Final answer
    x = 18,849

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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.