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Finding the Fourth Proportional to 78,141.82, 117,203 and 25,546.90

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Solution

The fourth proportional to 78,141.82, 117,203 and 25,546.90 is: 38,317.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,141.82 : 117,203 = 25,546.90 : x
  2. Step 2: Convert to fraction form
    78,141.82/117,203 = 25,546.90/x
  3. Step 3: Cross multiply
    78,141.82x = 117,203 × 25,546.90
  4. Step 4: Simplify right side
    78,141.82x = 2,994,173,320.70
  5. Step 5: Solve for x
    x = 2,994,173,320.70/78,141.82
  6. Step 6: Final answer
    x = 38,317.17

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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.