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Finding the Fourth Proportional to 81,105.69, 121,512.74 and 49,499.30

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Solution

The fourth proportional to 81,105.69, 121,512.74 and 49,499.30 is: 74,159.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,105.69 : 121,512.74 = 49,499.30 : x
  2. Step 2: Convert to fraction form
    81,105.69/121,512.74 = 49,499.30/x
  3. Step 3: Cross multiply
    81,105.69x = 121,512.74 × 49,499.30
  4. Step 4: Simplify right side
    81,105.69x = 6,014,794,716.02
  5. Step 5: Solve for x
    x = 6,014,794,716.02/81,105.69
  6. Step 6: Final answer
    x = 74,159.96

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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.