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Finding the Fourth Proportional to 149,859.91, 206,800.56 and 81,879.24

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Solution

The fourth proportional to 149,859.91, 206,800.56 and 81,879.24 is: 112,990.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,859.91 : 206,800.56 = 81,879.24 : x
  2. Step 2: Convert to fraction form
    149,859.91/206,800.56 = 81,879.24/x
  3. Step 3: Cross multiply
    149,859.91x = 206,800.56 × 81,879.24
  4. Step 4: Simplify right side
    149,859.91x = 16,932,672,684.37
  5. Step 5: Solve for x
    x = 16,932,672,684.37/149,859.91
  6. Step 6: Final answer
    x = 112,990.01

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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.