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Finding the Fourth Proportional to 149,670, 206,544.87 and 82,602

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Solution

The fourth proportional to 149,670, 206,544.87 and 82,602 is: 113,990.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,670 : 206,544.87 = 82,602 : x
  2. Step 2: Convert to fraction form
    149,670/206,544.87 = 82,602/x
  3. Step 3: Cross multiply
    149,670x = 206,544.87 × 82,602
  4. Step 4: Simplify right side
    149,670x = 17,061,019,351.74
  5. Step 5: Solve for x
    x = 17,061,019,351.74/149,670
  6. Step 6: Final answer
    x = 113,990.91

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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.