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Finding the Fourth Proportional to 61,131.92, 91,698.18 and 27,828.68

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Solution

The fourth proportional to 61,131.92, 91,698.18 and 27,828.68 is: 41,743.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,131.92 : 91,698.18 = 27,828.68 : x
  2. Step 2: Convert to fraction form
    61,131.92/91,698.18 = 27,828.68/x
  3. Step 3: Cross multiply
    61,131.92x = 91,698.18 × 27,828.68
  4. Step 4: Simplify right side
    61,131.92x = 2,551,839,260.76
  5. Step 5: Solve for x
    x = 2,551,839,260.76/61,131.92
  6. Step 6: Final answer
    x = 41,743.16

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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.