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Finding the Fourth Proportional to 61,784.28, 92,621.61 and 30,177

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Solution

The fourth proportional to 61,784.28, 92,621.61 and 30,177 is: 45,238.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,784.28 : 92,621.61 = 30,177 : x
  2. Step 2: Convert to fraction form
    61,784.28/92,621.61 = 30,177/x
  3. Step 3: Cross multiply
    61,784.28x = 92,621.61 × 30,177
  4. Step 4: Simplify right side
    61,784.28x = 2,795,042,324.97
  5. Step 5: Solve for x
    x = 2,795,042,324.97/61,784.28
  6. Step 6: Final answer
    x = 45,238.73

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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.