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Finding the Fourth Proportional to 221,604.64, 305,838.48 and 136,719.52

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Solution

The fourth proportional to 221,604.64, 305,838.48 and 136,719.52 is: 188,687.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,604.64 : 305,838.48 = 136,719.52 : x
  2. Step 2: Convert to fraction form
    221,604.64/305,838.48 = 136,719.52/x
  3. Step 3: Cross multiply
    221,604.64x = 305,838.48 × 136,719.52
  4. Step 4: Simplify right side
    221,604.64x = 41,814,090,183.13
  5. Step 5: Solve for x
    x = 41,814,090,183.13/221,604.64
  6. Step 6: Final answer
    x = 188,687.79

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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.