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Finding the Fourth Proportional to 165,716.82, 248,520.51 and 65,901.78

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Solution

The fourth proportional to 165,716.82, 248,520.51 and 65,901.78 is: 98,830.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,716.82 : 248,520.51 = 65,901.78 : x
  2. Step 2: Convert to fraction form
    165,716.82/248,520.51 = 65,901.78/x
  3. Step 3: Cross multiply
    165,716.82x = 248,520.51 × 65,901.78
  4. Step 4: Simplify right side
    165,716.82x = 16,377,943,975.51
  5. Step 5: Solve for x
    x = 16,377,943,975.51/165,716.82
  6. Step 6: Final answer
    x = 98,830.91

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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.