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Finding the Fourth Proportional to 221,352.72, 305,466.12 and 120,750

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Solution

The fourth proportional to 221,352.72, 305,466.12 and 120,750 is: 166,634.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,352.72 : 305,466.12 = 120,750 : x
  2. Step 2: Convert to fraction form
    221,352.72/305,466.12 = 120,750/x
  3. Step 3: Cross multiply
    221,352.72x = 305,466.12 × 120,750
  4. Step 4: Simplify right side
    221,352.72x = 36,885,033,990
  5. Step 5: Solve for x
    x = 36,885,033,990/221,352.72
  6. Step 6: Final answer
    x = 166,634.65

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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.