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Finding the Fourth Proportional to 98,188.65, 135,517.98 and 57,900

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Solution

The fourth proportional to 98,188.65, 135,517.98 and 57,900 is: 79,912.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,188.65 : 135,517.98 = 57,900 : x
  2. Step 2: Convert to fraction form
    98,188.65/135,517.98 = 57,900/x
  3. Step 3: Cross multiply
    98,188.65x = 135,517.98 × 57,900
  4. Step 4: Simplify right side
    98,188.65x = 7,846,491,042.00
  5. Step 5: Solve for x
    x = 7,846,491,042.00/98,188.65
  6. Step 6: Final answer
    x = 79,912.40

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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.