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Finding the Fourth Proportional to 78,782.89, 118,138.78 and 22,610.25

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Solution

The fourth proportional to 78,782.89, 118,138.78 and 22,610.25 is: 33,905.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,782.89 : 118,138.78 = 22,610.25 : x
  2. Step 2: Convert to fraction form
    78,782.89/118,138.78 = 22,610.25/x
  3. Step 3: Cross multiply
    78,782.89x = 118,138.78 × 22,610.25
  4. Step 4: Simplify right side
    78,782.89x = 2,671,147,350.50
  5. Step 5: Solve for x
    x = 2,671,147,350.50/78,782.89
  6. Step 6: Final answer
    x = 33,905.17

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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.