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Finding the Fourth Proportional to 115,193.82, 158,961.84 and 64,212.10

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Solution

The fourth proportional to 115,193.82, 158,961.84 and 64,212.10 is: 88,609.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,193.82 : 158,961.84 = 64,212.10 : x
  2. Step 2: Convert to fraction form
    115,193.82/158,961.84 = 64,212.10/x
  3. Step 3: Cross multiply
    115,193.82x = 158,961.84 × 64,212.10
  4. Step 4: Simplify right side
    115,193.82x = 10,207,273,566.26
  5. Step 5: Solve for x
    x = 10,207,273,566.26/115,193.82
  6. Step 6: Final answer
    x = 88,609.56

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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.