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Finding the Fourth Proportional to 151,838.63, 227,896.07 and 80,820.97

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Solution

The fourth proportional to 151,838.63, 227,896.07 and 80,820.97 is: 121,304.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,838.63 : 227,896.07 = 80,820.97 : x
  2. Step 2: Convert to fraction form
    151,838.63/227,896.07 = 80,820.97/x
  3. Step 3: Cross multiply
    151,838.63x = 227,896.07 × 80,820.97
  4. Step 4: Simplify right side
    151,838.63x = 18,418,780,462.74
  5. Step 5: Solve for x
    x = 18,418,780,462.74/151,838.63
  6. Step 6: Final answer
    x = 121,304.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.