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Finding the Fourth Proportional to 81,906.19, 122,859.13 and 46,821.24

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Solution

The fourth proportional to 81,906.19, 122,859.13 and 46,821.24 is: 70,231.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,906.19 : 122,859.13 = 46,821.24 : x
  2. Step 2: Convert to fraction form
    81,906.19/122,859.13 = 46,821.24/x
  3. Step 3: Cross multiply
    81,906.19x = 122,859.13 × 46,821.24
  4. Step 4: Simplify right side
    81,906.19x = 5,752,416,782.66
  5. Step 5: Solve for x
    x = 5,752,416,782.66/81,906.19
  6. Step 6: Final answer
    x = 70,231.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.