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Finding the Fourth Proportional to 70,814, 106,221 and 21,566

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Solution

The fourth proportional to 70,814, 106,221 and 21,566 is: 32,349

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,814 : 106,221 = 21,566 : x
  2. Step 2: Convert to fraction form
    70,814/106,221 = 21,566/x
  3. Step 3: Cross multiply
    70,814x = 106,221 × 21,566
  4. Step 4: Simplify right side
    70,814x = 2,290,762,086
  5. Step 5: Solve for x
    x = 2,290,762,086/70,814
  6. Step 6: Final answer
    x = 32,349

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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.