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Finding the Fourth Proportional to 70,566, 105,849 and 21,318

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Solution

The fourth proportional to 70,566, 105,849 and 21,318 is: 31,977

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,566 : 105,849 = 21,318 : x
  2. Step 2: Convert to fraction form
    70,566/105,849 = 21,318/x
  3. Step 3: Cross multiply
    70,566x = 105,849 × 21,318
  4. Step 4: Simplify right side
    70,566x = 2,256,488,982
  5. Step 5: Solve for x
    x = 2,256,488,982/70,566
  6. Step 6: Final answer
    x = 31,977

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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.