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Finding the Fourth Proportional to 149,380.50, 206,155.08 and 82,312.50

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Solution

The fourth proportional to 149,380.50, 206,155.08 and 82,312.50 is: 113,596.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,380.50 : 206,155.08 = 82,312.50 : x
  2. Step 2: Convert to fraction form
    149,380.50/206,155.08 = 82,312.50/x
  3. Step 3: Cross multiply
    149,380.50x = 206,155.08 × 82,312.50
  4. Step 4: Simplify right side
    149,380.50x = 16,969,140,022.50
  5. Step 5: Solve for x
    x = 16,969,140,022.50/149,380.50
  6. Step 6: Final answer
    x = 113,596.75

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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.