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Finding the Fourth Proportional to 67,881.60, 101,822.40 and 36,388.80

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Solution

The fourth proportional to 67,881.60, 101,822.40 and 36,388.80 is: 54,583.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,881.60 : 101,822.40 = 36,388.80 : x
  2. Step 2: Convert to fraction form
    67,881.60/101,822.40 = 36,388.80/x
  3. Step 3: Cross multiply
    67,881.60x = 101,822.40 × 36,388.80
  4. Step 4: Simplify right side
    67,881.60x = 3,705,194,949.12
  5. Step 5: Solve for x
    x = 3,705,194,949.12/67,881.60
  6. Step 6: Final answer
    x = 54,583.20

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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.