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Finding the Fourth Proportional to 149,444, 206,237.12 and 82,380.32

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Solution

The fourth proportional to 149,444, 206,237.12 and 82,380.32 is: 113,687.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,444 : 206,237.12 = 82,380.32 : x
  2. Step 2: Convert to fraction form
    149,444/206,237.12 = 82,380.32/x
  3. Step 3: Cross multiply
    149,444x = 206,237.12 × 82,380.32
  4. Step 4: Simplify right side
    149,444x = 16,989,879,941.48
  5. Step 5: Solve for x
    x = 16,989,879,941.48/149,444
  6. Step 6: Final answer
    x = 113,687.27

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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.