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Finding the Fourth Proportional to 149,295.81, 206,028.22 and 82,227.81

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Solution

The fourth proportional to 149,295.81, 206,028.22 and 82,227.81 is: 113,474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,295.81 : 206,028.22 = 82,227.81 : x
  2. Step 2: Convert to fraction form
    149,295.81/206,028.22 = 82,227.81/x
  3. Step 3: Cross multiply
    149,295.81x = 206,028.22 × 82,227.81
  4. Step 4: Simplify right side
    149,295.81x = 16,941,249,328.80
  5. Step 5: Solve for x
    x = 16,941,249,328.80/149,295.81
  6. Step 6: Final answer
    x = 113,474.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.