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Finding the Fourth Proportional to 159,859.80, 239,789.64 and 47,539.56

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Solution

The fourth proportional to 159,859.80, 239,789.64 and 47,539.56 is: 71,309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,859.80 : 239,789.64 = 47,539.56 : x
  2. Step 2: Convert to fraction form
    159,859.80/239,789.64 = 47,539.56/x
  3. Step 3: Cross multiply
    159,859.80x = 239,789.64 × 47,539.56
  4. Step 4: Simplify right side
    159,859.80x = 11,399,493,978.16
  5. Step 5: Solve for x
    x = 11,399,493,978.16/159,859.80
  6. Step 6: Final answer
    x = 71,309.32

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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.