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Finding the Fourth Proportional to 70,841.42, 106,245.12 and 20,908.02

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Solution

The fourth proportional to 70,841.42, 106,245.12 and 20,908.02 is: 31,357.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,841.42 : 106,245.12 = 20,908.02 : x
  2. Step 2: Convert to fraction form
    70,841.42/106,245.12 = 20,908.02/x
  3. Step 3: Cross multiply
    70,841.42x = 106,245.12 × 20,908.02
  4. Step 4: Simplify right side
    70,841.42x = 2,221,375,093.86
  5. Step 5: Solve for x
    x = 2,221,375,093.86/70,841.42
  6. Step 6: Final answer
    x = 31,357.01

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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.