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Finding the Fourth Proportional to 78,121, 117,201.48 and 22,717

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Solution

The fourth proportional to 78,121, 117,201.48 and 22,717 is: 34,081.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,121 : 117,201.48 = 22,717 : x
  2. Step 2: Convert to fraction form
    78,121/117,201.48 = 22,717/x
  3. Step 3: Cross multiply
    78,121x = 117,201.48 × 22,717
  4. Step 4: Simplify right side
    78,121x = 2,662,466,021.16
  5. Step 5: Solve for x
    x = 2,662,466,021.16/78,121
  6. Step 6: Final answer
    x = 34,081.31

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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.