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Finding the Fourth Proportional to 149,365, 206,124.34 and 82,295.56

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Solution

The fourth proportional to 149,365, 206,124.34 and 82,295.56 is: 113,568.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,365 : 206,124.34 = 82,295.56 : x
  2. Step 2: Convert to fraction form
    149,365/206,124.34 = 82,295.56/x
  3. Step 3: Cross multiply
    149,365x = 206,124.34 × 82,295.56
  4. Step 4: Simplify right side
    149,365x = 16,963,117,989.93
  5. Step 5: Solve for x
    x = 16,963,117,989.93/149,365
  6. Step 6: Final answer
    x = 113,568.23

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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.