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Finding the Fourth Proportional to 137,212.88, 205,552.95 and 101,123.76

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Solution

The fourth proportional to 137,212.88, 205,552.95 and 101,123.76 is: 151,489.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,212.88 : 205,552.95 = 101,123.76 : x
  2. Step 2: Convert to fraction form
    137,212.88/205,552.95 = 101,123.76/x
  3. Step 3: Cross multiply
    137,212.88x = 205,552.95 × 101,123.76
  4. Step 4: Simplify right side
    137,212.88x = 20,786,287,183.09
  5. Step 5: Solve for x
    x = 20,786,287,183.09/137,212.88
  6. Step 6: Final answer
    x = 151,489.33

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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.