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Finding the Fourth Proportional to 119,672.10, 165,140.76 and 65,956.94

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Solution

The fourth proportional to 119,672.10, 165,140.76 and 65,956.94 is: 91,016.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,672.10 : 165,140.76 = 65,956.94 : x
  2. Step 2: Convert to fraction form
    119,672.10/165,140.76 = 65,956.94/x
  3. Step 3: Cross multiply
    119,672.10x = 165,140.76 × 65,956.94
  4. Step 4: Simplify right side
    119,672.10x = 10,892,179,198.87
  5. Step 5: Solve for x
    x = 10,892,179,198.87/119,672.10
  6. Step 6: Final answer
    x = 91,016.86

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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.