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Finding the Fourth Proportional to 221,643.48, 305,863.74 and 121,042.20

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Solution

The fourth proportional to 221,643.48, 305,863.74 and 121,042.20 is: 167,035.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,643.48 : 305,863.74 = 121,042.20 : x
  2. Step 2: Convert to fraction form
    221,643.48/305,863.74 = 121,042.20/x
  3. Step 3: Cross multiply
    221,643.48x = 305,863.74 × 121,042.20
  4. Step 4: Simplify right side
    221,643.48x = 37,022,419,989.83
  5. Step 5: Solve for x
    x = 37,022,419,989.83/221,643.48
  6. Step 6: Final answer
    x = 167,035.91

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1.5x scale

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.