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Finding the Fourth Proportional to 70,811.65, 106,180.89 and 20,885.39

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Solution

The fourth proportional to 70,811.65, 106,180.89 and 20,885.39 is: 31,317.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,811.65 : 106,180.89 = 20,885.39 : x
  2. Step 2: Convert to fraction form
    70,811.65/106,180.89 = 20,885.39/x
  3. Step 3: Cross multiply
    70,811.65x = 106,180.89 × 20,885.39
  4. Step 4: Simplify right side
    70,811.65x = 2,217,629,298.20
  5. Step 5: Solve for x
    x = 2,217,629,298.20/70,811.65
  6. Step 6: Final answer
    x = 31,317.29

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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.