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Finding the Fourth Proportional to 70,810, 106,215 and 21,562

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Solution

The fourth proportional to 70,810, 106,215 and 21,562 is: 32,343

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,810 : 106,215 = 21,562 : x
  2. Step 2: Convert to fraction form
    70,810/106,215 = 21,562/x
  3. Step 3: Cross multiply
    70,810x = 106,215 × 21,562
  4. Step 4: Simplify right side
    70,810x = 2,290,207,830
  5. Step 5: Solve for x
    x = 2,290,207,830/70,810
  6. Step 6: Final answer
    x = 32,343

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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.