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Finding the Fourth Proportional to 165,233.33, 247,855.34 and 78,660.39

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Solution

The fourth proportional to 165,233.33, 247,855.34 and 78,660.39 is: 117,993.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,233.33 : 247,855.34 = 78,660.39 : x
  2. Step 2: Convert to fraction form
    165,233.33/247,855.34 = 78,660.39/x
  3. Step 3: Cross multiply
    165,233.33x = 247,855.34 × 78,660.39
  4. Step 4: Simplify right side
    165,233.33x = 19,496,398,834.09
  5. Step 5: Solve for x
    x = 19,496,398,834.09/165,233.33
  6. Step 6: Final answer
    x = 117,993.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.