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Finding the Fourth Proportional to 137,286.89, 205,910.74 and 53,086.63

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Solution

The fourth proportional to 137,286.89, 205,910.74 and 53,086.63 is: 79,622.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,286.89 : 205,910.74 = 53,086.63 : x
  2. Step 2: Convert to fraction form
    137,286.89/205,910.74 = 53,086.63/x
  3. Step 3: Cross multiply
    137,286.89x = 205,910.74 × 53,086.63
  4. Step 4: Simplify right side
    137,286.89x = 10,931,107,267.41
  5. Step 5: Solve for x
    x = 10,931,107,267.41/137,286.89
  6. Step 6: Final answer
    x = 79,622.37

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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.