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Finding the Fourth Proportional to 149,755.50, 206,639.10 and 86,081.40

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Solution

The fourth proportional to 149,755.50, 206,639.10 and 86,081.40 is: 118,778.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,755.50 : 206,639.10 = 86,081.40 : x
  2. Step 2: Convert to fraction form
    149,755.50/206,639.10 = 86,081.40/x
  3. Step 3: Cross multiply
    149,755.50x = 206,639.10 × 86,081.40
  4. Step 4: Simplify right side
    149,755.50x = 17,787,783,022.74
  5. Step 5: Solve for x
    x = 17,787,783,022.74/149,755.50
  6. Step 6: Final answer
    x = 118,778.83

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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.