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Finding the Fourth Proportional to 78,789, 118,203 and 23,385

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Solution

The fourth proportional to 78,789, 118,203 and 23,385 is: 35,083.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,789 : 118,203 = 23,385 : x
  2. Step 2: Convert to fraction form
    78,789/118,203 = 23,385/x
  3. Step 3: Cross multiply
    78,789x = 118,203 × 23,385
  4. Step 4: Simplify right side
    78,789x = 2,764,177,155
  5. Step 5: Solve for x
    x = 2,764,177,155/78,789
  6. Step 6: Final answer
    x = 35,083.29

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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.