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Finding the Fourth Proportional to 71,106.90, 106,660.34 and 21,185.70

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Solution

The fourth proportional to 71,106.90, 106,660.34 and 21,185.70 is: 31,778.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,106.90 : 106,660.34 = 21,185.70 : x
  2. Step 2: Convert to fraction form
    71,106.90/106,660.34 = 21,185.70/x
  3. Step 3: Cross multiply
    71,106.90x = 106,660.34 × 21,185.70
  4. Step 4: Simplify right side
    71,106.90x = 2,259,673,965.14
  5. Step 5: Solve for x
    x = 2,259,673,965.14/71,106.90
  6. Step 6: Final answer
    x = 31,778.55

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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.