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Finding the Fourth Proportional to 159,342.28, 239,019.14 and 54,147.58

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Solution

The fourth proportional to 159,342.28, 239,019.14 and 54,147.58 is: 81,223.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,342.28 : 239,019.14 = 54,147.58 : x
  2. Step 2: Convert to fraction form
    159,342.28/239,019.14 = 54,147.58/x
  3. Step 3: Cross multiply
    159,342.28x = 239,019.14 × 54,147.58
  4. Step 4: Simplify right side
    159,342.28x = 12,942,308,004.68
  5. Step 5: Solve for x
    x = 12,942,308,004.68/159,342.28
  6. Step 6: Final answer
    x = 81,223.31

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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.