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Finding the Fourth Proportional to 221,574.43, 305,771.10 and 120,972.43

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Solution

The fourth proportional to 221,574.43, 305,771.10 and 120,972.43 is: 166,941.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,574.43 : 305,771.10 = 120,972.43 : x
  2. Step 2: Convert to fraction form
    221,574.43/305,771.10 = 120,972.43/x
  3. Step 3: Cross multiply
    221,574.43x = 305,771.10 × 120,972.43
  4. Step 4: Simplify right side
    221,574.43x = 36,989,872,990.77
  5. Step 5: Solve for x
    x = 36,989,872,990.77/221,574.43
  6. Step 6: Final answer
    x = 166,941.07

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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.