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Finding the Fourth Proportional to 221,725.72, 305,981.44 and 119,751.24

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Solution

The fourth proportional to 221,725.72, 305,981.44 and 119,751.24 is: 165,256.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,725.72 : 305,981.44 = 119,751.24 : x
  2. Step 2: Convert to fraction form
    221,725.72/305,981.44 = 119,751.24/x
  3. Step 3: Cross multiply
    221,725.72x = 305,981.44 × 119,751.24
  4. Step 4: Simplify right side
    221,725.72x = 36,641,656,856.99
  5. Step 5: Solve for x
    x = 36,641,656,856.99/221,725.72
  6. Step 6: Final answer
    x = 165,256.68

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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.