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Finding the Fourth Proportional to 70,562, 105,843 and 21,314

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Solution

The fourth proportional to 70,562, 105,843 and 21,314 is: 31,971

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,562 : 105,843 = 21,314 : x
  2. Step 2: Convert to fraction form
    70,562/105,843 = 21,314/x
  3. Step 3: Cross multiply
    70,562x = 105,843 × 21,314
  4. Step 4: Simplify right side
    70,562x = 2,255,937,702
  5. Step 5: Solve for x
    x = 2,255,937,702/70,562
  6. Step 6: Final answer
    x = 31,971

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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.