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Finding the Fourth Proportional to 221,355, 305,469.90 and 120,753

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Solution

The fourth proportional to 221,355, 305,469.90 and 120,753 is: 166,639.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,355 : 305,469.90 = 120,753 : x
  2. Step 2: Convert to fraction form
    221,355/305,469.90 = 120,753/x
  3. Step 3: Cross multiply
    221,355x = 305,469.90 × 120,753
  4. Step 4: Simplify right side
    221,355x = 36,886,406,834.70
  5. Step 5: Solve for x
    x = 36,886,406,834.70/221,355
  6. Step 6: Final answer
    x = 166,639.14

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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.