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Finding the Fourth Proportional to 87,204.82, 120,354.87 and 50,918.14

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Solution

The fourth proportional to 87,204.82, 120,354.87 and 50,918.14 is: 70,274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,204.82 : 120,354.87 = 50,918.14 : x
  2. Step 2: Convert to fraction form
    87,204.82/120,354.87 = 50,918.14/x
  3. Step 3: Cross multiply
    87,204.82x = 120,354.87 × 50,918.14
  4. Step 4: Simplify right side
    87,204.82x = 6,128,246,120.34
  5. Step 5: Solve for x
    x = 6,128,246,120.34/87,204.82
  6. Step 6: Final answer
    x = 70,274.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.