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Finding the Fourth Proportional to 139,883.20, 209,912.28 and 56,777.20

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Solution

The fourth proportional to 139,883.20, 209,912.28 and 56,777.20 is: 85,201.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,883.20 : 209,912.28 = 56,777.20 : x
  2. Step 2: Convert to fraction form
    139,883.20/209,912.28 = 56,777.20/x
  3. Step 3: Cross multiply
    139,883.20x = 209,912.28 × 56,777.20
  4. Step 4: Simplify right side
    139,883.20x = 11,918,231,504.02
  5. Step 5: Solve for x
    x = 11,918,231,504.02/139,883.20
  6. Step 6: Final answer
    x = 85,201.31

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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.