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Finding the Fourth Proportional to 115,418.82, 159,286 and 64,441.58

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Solution

The fourth proportional to 115,418.82, 159,286 and 64,441.58 is: 88,933.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,418.82 : 159,286 = 64,441.58 : x
  2. Step 2: Convert to fraction form
    115,418.82/159,286 = 64,441.58/x
  3. Step 3: Cross multiply
    115,418.82x = 159,286 × 64,441.58
  4. Step 4: Simplify right side
    115,418.82x = 10,264,641,511.88
  5. Step 5: Solve for x
    x = 10,264,641,511.88/115,418.82
  6. Step 6: Final answer
    x = 88,933.86

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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.