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Finding the Fourth Proportional to 78,671.97, 117,943.92 and 36,578.57

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Solution

The fourth proportional to 78,671.97, 117,943.92 and 36,578.57 is: 54,838.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,671.97 : 117,943.92 = 36,578.57 : x
  2. Step 2: Convert to fraction form
    78,671.97/117,943.92 = 36,578.57/x
  3. Step 3: Cross multiply
    78,671.97x = 117,943.92 × 36,578.57
  4. Step 4: Simplify right side
    78,671.97x = 4,314,219,344.07
  5. Step 5: Solve for x
    x = 4,314,219,344.07/78,671.97
  6. Step 6: Final answer
    x = 54,838.07

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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.