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Finding the Fourth Proportional to 119,540.77, 164,910.85 and 77,112.97

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Solution

The fourth proportional to 119,540.77, 164,910.85 and 77,112.97 is: 106,380.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,540.77 : 164,910.85 = 77,112.97 : x
  2. Step 2: Convert to fraction form
    119,540.77/164,910.85 = 77,112.97/x
  3. Step 3: Cross multiply
    119,540.77x = 164,910.85 × 77,112.97
  4. Step 4: Simplify right side
    119,540.77x = 12,716,765,428.72
  5. Step 5: Solve for x
    x = 12,716,765,428.72/119,540.77
  6. Step 6: Final answer
    x = 106,380.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.