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Finding the Fourth Proportional to 149,901.50, 206,879.20 and 82,833.50

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Solution

The fourth proportional to 149,901.50, 206,879.20 and 82,833.50 is: 114,318.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,901.50 : 206,879.20 = 82,833.50 : x
  2. Step 2: Convert to fraction form
    149,901.50/206,879.20 = 82,833.50/x
  3. Step 3: Cross multiply
    149,901.50x = 206,879.20 × 82,833.50
  4. Step 4: Simplify right side
    149,901.50x = 17,136,528,213.20
  5. Step 5: Solve for x
    x = 17,136,528,213.20/149,901.50
  6. Step 6: Final answer
    x = 114,318.59

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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.