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Finding the Fourth Proportional to 221,358.72, 305,474.40 and 120,756

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Solution

The fourth proportional to 221,358.72, 305,474.40 and 120,756 is: 166,642.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,358.72 : 305,474.40 = 120,756 : x
  2. Step 2: Convert to fraction form
    221,358.72/305,474.40 = 120,756/x
  3. Step 3: Cross multiply
    221,358.72x = 305,474.40 × 120,756
  4. Step 4: Simplify right side
    221,358.72x = 36,887,866,646.40
  5. Step 5: Solve for x
    x = 36,887,866,646.40/221,358.72
  6. Step 6: Final answer
    x = 166,642.93

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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.