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Finding the Fourth Proportional to 70,812, 106,218 and 21,564

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Solution

The fourth proportional to 70,812, 106,218 and 21,564 is: 32,346

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,812 : 106,218 = 21,564 : x
  2. Step 2: Convert to fraction form
    70,812/106,218 = 21,564/x
  3. Step 3: Cross multiply
    70,812x = 106,218 × 21,564
  4. Step 4: Simplify right side
    70,812x = 2,290,484,952
  5. Step 5: Solve for x
    x = 2,290,484,952/70,812
  6. Step 6: Final answer
    x = 32,346

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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.