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Finding the Fourth Proportional to 101,212.98, 151,819.65 and 31,091.82

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Solution

The fourth proportional to 101,212.98, 151,819.65 and 31,091.82 is: 46,637.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,212.98 : 151,819.65 = 31,091.82 : x
  2. Step 2: Convert to fraction form
    101,212.98/151,819.65 = 31,091.82/x
  3. Step 3: Cross multiply
    101,212.98x = 151,819.65 × 31,091.82
  4. Step 4: Simplify right side
    101,212.98x = 4,720,349,230.26
  5. Step 5: Solve for x
    x = 4,720,349,230.26/101,212.98
  6. Step 6: Final answer
    x = 46,637.79

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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.