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Finding the Fourth Proportional to 135,462.34, 203,318.25 and 68,950

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Solution

The fourth proportional to 135,462.34, 203,318.25 and 68,950 is: 103,488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,462.34 : 203,318.25 = 68,950 : x
  2. Step 2: Convert to fraction form
    135,462.34/203,318.25 = 68,950/x
  3. Step 3: Cross multiply
    135,462.34x = 203,318.25 × 68,950
  4. Step 4: Simplify right side
    135,462.34x = 14,018,793,337.50
  5. Step 5: Solve for x
    x = 14,018,793,337.50/135,462.34
  6. Step 6: Final answer
    x = 103,488.49

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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.