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Finding the Fourth Proportional to 149,387, 206,158.38 and 82,323.32

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Solution

The fourth proportional to 149,387, 206,158.38 and 82,323.32 is: 113,608.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,387 : 206,158.38 = 82,323.32 : x
  2. Step 2: Convert to fraction form
    149,387/206,158.38 = 82,323.32/x
  3. Step 3: Cross multiply
    149,387x = 206,158.38 × 82,323.32
  4. Step 4: Simplify right side
    149,387x = 16,971,642,287.42
  5. Step 5: Solve for x
    x = 16,971,642,287.42/149,387
  6. Step 6: Final answer
    x = 113,608.56

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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.