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Finding the Fourth Proportional to 159,664.80, 239,169.15 and 109,801.20

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Solution

The fourth proportional to 159,664.80, 239,169.15 and 109,801.20 is: 164,476.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,664.80 : 239,169.15 = 109,801.20 : x
  2. Step 2: Convert to fraction form
    159,664.80/239,169.15 = 109,801.20/x
  3. Step 3: Cross multiply
    159,664.80x = 239,169.15 × 109,801.20
  4. Step 4: Simplify right side
    159,664.80x = 26,261,059,672.98
  5. Step 5: Solve for x
    x = 26,261,059,672.98/159,664.80
  6. Step 6: Final answer
    x = 164,476.20

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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.