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Finding the Fourth Proportional to 78,456, 117,684 and 23,052

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Solution

The fourth proportional to 78,456, 117,684 and 23,052 is: 34,578

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,456 : 117,684 = 23,052 : x
  2. Step 2: Convert to fraction form
    78,456/117,684 = 23,052/x
  3. Step 3: Cross multiply
    78,456x = 117,684 × 23,052
  4. Step 4: Simplify right side
    78,456x = 2,712,851,568
  5. Step 5: Solve for x
    x = 2,712,851,568/78,456
  6. Step 6: Final answer
    x = 34,578

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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.