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Finding the Fourth Proportional to 101,299.51, 151,951.22 and 31,178.75

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Solution

The fourth proportional to 101,299.51, 151,951.22 and 31,178.75 is: 46,768.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,299.51 : 151,951.22 = 31,178.75 : x
  2. Step 2: Convert to fraction form
    101,299.51/151,951.22 = 31,178.75/x
  3. Step 3: Cross multiply
    101,299.51x = 151,951.22 × 31,178.75
  4. Step 4: Simplify right side
    101,299.51x = 4,737,648,944.68
  5. Step 5: Solve for x
    x = 4,737,648,944.68/101,299.51
  6. Step 6: Final answer
    x = 46,768.73

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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.