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Finding the Fourth Proportional to 159,878.88, 239,842 and 53,228

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Solution

The fourth proportional to 159,878.88, 239,842 and 53,228 is: 79,849.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,878.88 : 239,842 = 53,228 : x
  2. Step 2: Convert to fraction form
    159,878.88/239,842 = 53,228/x
  3. Step 3: Cross multiply
    159,878.88x = 239,842 × 53,228
  4. Step 4: Simplify right side
    159,878.88x = 12,766,309,976
  5. Step 5: Solve for x
    x = 12,766,309,976/159,878.88
  6. Step 6: Final answer
    x = 79,849.88

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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.