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Finding the Fourth Proportional to 78,285, 117,435.17 and 22,125.54

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Solution

The fourth proportional to 78,285, 117,435.17 and 22,125.54 is: 33,190.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,285 : 117,435.17 = 22,125.54 : x
  2. Step 2: Convert to fraction form
    78,285/117,435.17 = 22,125.54/x
  3. Step 3: Cross multiply
    78,285x = 117,435.17 × 22,125.54
  4. Step 4: Simplify right side
    78,285x = 2,598,316,551.24
  5. Step 5: Solve for x
    x = 2,598,316,551.24/78,285
  6. Step 6: Final answer
    x = 33,190.48

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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.