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Finding the Fourth Proportional to 70,542, 105,813 and 21,294

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Solution

The fourth proportional to 70,542, 105,813 and 21,294 is: 31,941

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,542 : 105,813 = 21,294 : x
  2. Step 2: Convert to fraction form
    70,542/105,813 = 21,294/x
  3. Step 3: Cross multiply
    70,542x = 105,813 × 21,294
  4. Step 4: Simplify right side
    70,542x = 2,253,182,022
  5. Step 5: Solve for x
    x = 2,253,182,022/70,542
  6. Step 6: Final answer
    x = 31,941

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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.