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Finding the Fourth Proportional to 98,231.97, 135,576.50 and 57,955.71

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Solution

The fourth proportional to 98,231.97, 135,576.50 and 57,955.71 is: 79,988.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,231.97 : 135,576.50 = 57,955.71 : x
  2. Step 2: Convert to fraction form
    98,231.97/135,576.50 = 57,955.71/x
  3. Step 3: Cross multiply
    98,231.97x = 135,576.50 × 57,955.71
  4. Step 4: Simplify right side
    98,231.97x = 7,857,432,027.04
  5. Step 5: Solve for x
    x = 7,857,432,027.04/98,231.97
  6. Step 6: Final answer
    x = 79,988.54

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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.