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Finding the Fourth Proportional to 135,468.34, 203,327.25 and 68,956

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Solution

The fourth proportional to 135,468.34, 203,327.25 and 68,956 is: 103,497.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,468.34 : 203,327.25 = 68,956 : x
  2. Step 2: Convert to fraction form
    135,468.34/203,327.25 = 68,956/x
  3. Step 3: Cross multiply
    135,468.34x = 203,327.25 × 68,956
  4. Step 4: Simplify right side
    135,468.34x = 14,020,633,851
  5. Step 5: Solve for x
    x = 14,020,633,851/135,468.34
  6. Step 6: Final answer
    x = 103,497.50

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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.