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Finding the Fourth Proportional to 119,613.73, 165,065.01 and 65,166.54

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Solution

The fourth proportional to 119,613.73, 165,065.01 and 65,166.54 is: 89,928.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,613.73 : 165,065.01 = 65,166.54 : x
  2. Step 2: Convert to fraction form
    119,613.73/165,065.01 = 65,166.54/x
  3. Step 3: Cross multiply
    119,613.73x = 165,065.01 × 65,166.54
  4. Step 4: Simplify right side
    119,613.73x = 10,756,716,106.13
  5. Step 5: Solve for x
    x = 10,756,716,106.13/119,613.73
  6. Step 6: Final answer
    x = 89,928.78

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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.