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Finding the Fourth Proportional to 102,198.56, 141,033.90 and 57,486.56

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Solution

The fourth proportional to 102,198.56, 141,033.90 and 57,486.56 is: 79,331.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,198.56 : 141,033.90 = 57,486.56 : x
  2. Step 2: Convert to fraction form
    102,198.56/141,033.90 = 57,486.56/x
  3. Step 3: Cross multiply
    102,198.56x = 141,033.90 × 57,486.56
  4. Step 4: Simplify right side
    102,198.56x = 8,107,553,754.38
  5. Step 5: Solve for x
    x = 8,107,553,754.38/102,198.56
  6. Step 6: Final answer
    x = 79,331.39

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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.