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Finding the Fourth Proportional to 70,711.80, 106,065.30 and 18,121.80

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Solution

The fourth proportional to 70,711.80, 106,065.30 and 18,121.80 is: 27,182.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,711.80 : 106,065.30 = 18,121.80 : x
  2. Step 2: Convert to fraction form
    70,711.80/106,065.30 = 18,121.80/x
  3. Step 3: Cross multiply
    70,711.80x = 106,065.30 × 18,121.80
  4. Step 4: Simplify right side
    70,711.80x = 1,922,094,153.54
  5. Step 5: Solve for x
    x = 1,922,094,153.54/70,711.80
  6. Step 6: Final answer
    x = 27,182.08

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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.