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Finding the Fourth Proportional to 120,078.68, 165,709.13 and 65,631.97

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Solution

The fourth proportional to 120,078.68, 165,709.13 and 65,631.97 is: 90,572.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,078.68 : 165,709.13 = 65,631.97 : x
  2. Step 2: Convert to fraction form
    120,078.68/165,709.13 = 65,631.97/x
  3. Step 3: Cross multiply
    120,078.68x = 165,709.13 × 65,631.97
  4. Step 4: Simplify right side
    120,078.68x = 10,875,816,648.89
  5. Step 5: Solve for x
    x = 10,875,816,648.89/120,078.68
  6. Step 6: Final answer
    x = 90,572.42

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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.