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Finding the Fourth Proportional to 119,689.88, 165,181.56 and 65,984.44

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Solution

The fourth proportional to 119,689.88, 165,181.56 and 65,984.44 is: 91,063.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,689.88 : 165,181.56 = 65,984.44 : x
  2. Step 2: Convert to fraction form
    119,689.88/165,181.56 = 65,984.44/x
  3. Step 3: Cross multiply
    119,689.88x = 165,181.56 × 65,984.44
  4. Step 4: Simplify right side
    119,689.88x = 10,899,412,734.93
  5. Step 5: Solve for x
    x = 10,899,412,734.93/119,689.88
  6. Step 6: Final answer
    x = 91,063.78

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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.