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Finding the Fourth Proportional to 71,189.83, 106,860.67 and 30,683.39

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Solution

The fourth proportional to 71,189.83, 106,860.67 and 30,683.39 is: 46,057.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,189.83 : 106,860.67 = 30,683.39 : x
  2. Step 2: Convert to fraction form
    71,189.83/106,860.67 = 30,683.39/x
  3. Step 3: Cross multiply
    71,189.83x = 106,860.67 × 30,683.39
  4. Step 4: Simplify right side
    71,189.83x = 3,278,847,803.71
  5. Step 5: Solve for x
    x = 3,278,847,803.71/71,189.83
  6. Step 6: Final answer
    x = 46,057.81

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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.