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Finding the Fourth Proportional to 78,512.97, 117,800.94 and 28,596.52

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Solution

The fourth proportional to 78,512.97, 117,800.94 and 28,596.52 is: 42,906.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,512.97 : 117,800.94 = 28,596.52 : x
  2. Step 2: Convert to fraction form
    78,512.97/117,800.94 = 28,596.52/x
  3. Step 3: Cross multiply
    78,512.97x = 117,800.94 × 28,596.52
  4. Step 4: Simplify right side
    78,512.97x = 3,368,696,936.73
  5. Step 5: Solve for x
    x = 3,368,696,936.73/78,512.97
  6. Step 6: Final answer
    x = 42,906.25

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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.