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Finding the Fourth Proportional to 78,069.92, 117,033.12 and 28,137.80

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Solution

The fourth proportional to 78,069.92, 117,033.12 and 28,137.80 is: 42,180.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,069.92 : 117,033.12 = 28,137.80 : x
  2. Step 2: Convert to fraction form
    78,069.92/117,033.12 = 28,137.80/x
  3. Step 3: Cross multiply
    78,069.92x = 117,033.12 × 28,137.80
  4. Step 4: Simplify right side
    78,069.92x = 3,293,053,938.77
  5. Step 5: Solve for x
    x = 3,293,053,938.77/78,069.92
  6. Step 6: Final answer
    x = 42,180.83

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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.