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Finding the Fourth Proportional to 221,369, 305,488.92 and 120,767

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Solution

The fourth proportional to 221,369, 305,488.92 and 120,767 is: 166,658.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,369 : 305,488.92 = 120,767 : x
  2. Step 2: Convert to fraction form
    221,369/305,488.92 = 120,767/x
  3. Step 3: Cross multiply
    221,369x = 305,488.92 × 120,767
  4. Step 4: Simplify right side
    221,369x = 36,892,980,401.64
  5. Step 5: Solve for x
    x = 36,892,980,401.64/221,369
  6. Step 6: Final answer
    x = 166,658.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.