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Finding the Fourth Proportional to 78,137.97, 117,210.19 and 22,733.97

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Solution

The fourth proportional to 78,137.97, 117,210.19 and 22,733.97 is: 34,101.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,137.97 : 117,210.19 = 22,733.97 : x
  2. Step 2: Convert to fraction form
    78,137.97/117,210.19 = 22,733.97/x
  3. Step 3: Cross multiply
    78,137.97x = 117,210.19 × 22,733.97
  4. Step 4: Simplify right side
    78,137.97x = 2,664,652,943.15
  5. Step 5: Solve for x
    x = 2,664,652,943.15/78,137.97
  6. Step 6: Final answer
    x = 34,101.90

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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.