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Finding the Fourth Proportional to 221,767.55, 306,039.34 and 119,793.01

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Solution

The fourth proportional to 221,767.55, 306,039.34 and 119,793.01 is: 165,314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,767.55 : 306,039.34 = 119,793.01 : x
  2. Step 2: Convert to fraction form
    221,767.55/306,039.34 = 119,793.01/x
  3. Step 3: Cross multiply
    221,767.55x = 306,039.34 × 119,793.01
  4. Step 4: Simplify right side
    221,767.55x = 36,661,373,717.01
  5. Step 5: Solve for x
    x = 36,661,373,717.01/221,767.55
  6. Step 6: Final answer
    x = 165,314.42

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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.