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Finding the Fourth Proportional to 98,205.40, 135,466.45 and 61,892.61

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Solution

The fourth proportional to 98,205.40, 135,466.45 and 61,892.61 is: 85,375.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,205.40 : 135,466.45 = 61,892.61 : x
  2. Step 2: Convert to fraction form
    98,205.40/135,466.45 = 61,892.61/x
  3. Step 3: Cross multiply
    98,205.40x = 135,466.45 × 61,892.61
  4. Step 4: Simplify right side
    98,205.40x = 8,384,372,812.27
  5. Step 5: Solve for x
    x = 8,384,372,812.27/98,205.40
  6. Step 6: Final answer
    x = 85,375.89

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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.