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Finding the Fourth Proportional to 99,696.20, 137,576.95 and 54,984.20

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Solution

The fourth proportional to 99,696.20, 137,576.95 and 54,984.20 is: 75,876.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,696.20 : 137,576.95 = 54,984.20 : x
  2. Step 2: Convert to fraction form
    99,696.20/137,576.95 = 54,984.20/x
  3. Step 3: Cross multiply
    99,696.20x = 137,576.95 × 54,984.20
  4. Step 4: Simplify right side
    99,696.20x = 7,564,557,708.84
  5. Step 5: Solve for x
    x = 7,564,557,708.84/99,696.20
  6. Step 6: Final answer
    x = 75,876.09

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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.