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Finding the Fourth Proportional to 92,110.20, 138,165.30 and 50,119.80

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Solution

The fourth proportional to 92,110.20, 138,165.30 and 50,119.80 is: 75,179.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,110.20 : 138,165.30 = 50,119.80 : x
  2. Step 2: Convert to fraction form
    92,110.20/138,165.30 = 50,119.80/x
  3. Step 3: Cross multiply
    92,110.20x = 138,165.30 × 50,119.80
  4. Step 4: Simplify right side
    92,110.20x = 6,924,817,202.94
  5. Step 5: Solve for x
    x = 6,924,817,202.94/92,110.20
  6. Step 6: Final answer
    x = 75,179.70

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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.