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Finding the Fourth Proportional to 119,701.92, 165,186.56 and 65,986.64

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Solution

The fourth proportional to 119,701.92, 165,186.56 and 65,986.64 is: 91,060.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,701.92 : 165,186.56 = 65,986.64 : x
  2. Step 2: Convert to fraction form
    119,701.92/165,186.56 = 65,986.64/x
  3. Step 3: Cross multiply
    119,701.92x = 165,186.56 × 65,986.64
  4. Step 4: Simplify right side
    119,701.92x = 10,900,106,067.56
  5. Step 5: Solve for x
    x = 10,900,106,067.56/119,701.92
  6. Step 6: Final answer
    x = 91,060.41

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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.