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Finding the Fourth Proportional to 135,840.28, 203,733.45 and 68,354.32

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Solution

The fourth proportional to 135,840.28, 203,733.45 and 68,354.32 is: 102,517.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,840.28 : 203,733.45 = 68,354.32 : x
  2. Step 2: Convert to fraction form
    135,840.28/203,733.45 = 68,354.32/x
  3. Step 3: Cross multiply
    135,840.28x = 203,733.45 × 68,354.32
  4. Step 4: Simplify right side
    135,840.28x = 13,926,061,436.00
  5. Step 5: Solve for x
    x = 13,926,061,436.00/135,840.28
  6. Step 6: Final answer
    x = 102,517.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.