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Finding the Fourth Proportional to 221,376.82, 305,487.57 and 125,906.74

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Solution

The fourth proportional to 221,376.82, 305,487.57 and 125,906.74 is: 173,744.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,376.82 : 305,487.57 = 125,906.74 : x
  2. Step 2: Convert to fraction form
    221,376.82/305,487.57 = 125,906.74/x
  3. Step 3: Cross multiply
    221,376.82x = 305,487.57 × 125,906.74
  4. Step 4: Simplify right side
    221,376.82x = 38,462,944,049.22
  5. Step 5: Solve for x
    x = 38,462,944,049.22/221,376.82
  6. Step 6: Final answer
    x = 173,744.23

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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.