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Finding the Fourth Proportional to 110,327.82, 165,491.79 and 77,112.73

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Solution

The fourth proportional to 110,327.82, 165,491.79 and 77,112.73 is: 115,669.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,327.82 : 165,491.79 = 77,112.73 : x
  2. Step 2: Convert to fraction form
    110,327.82/165,491.79 = 77,112.73/x
  3. Step 3: Cross multiply
    110,327.82x = 165,491.79 × 77,112.73
  4. Step 4: Simplify right side
    110,327.82x = 12,761,523,719.49
  5. Step 5: Solve for x
    x = 12,761,523,719.49/110,327.82
  6. Step 6: Final answer
    x = 115,669.14

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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.