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Finding the Fourth Proportional to 159,017.85, 238,378.41 and 53,763.21

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Solution

The fourth proportional to 159,017.85, 238,378.41 and 53,763.21 is: 80,594.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,017.85 : 238,378.41 = 53,763.21 : x
  2. Step 2: Convert to fraction form
    159,017.85/238,378.41 = 53,763.21/x
  3. Step 3: Cross multiply
    159,017.85x = 238,378.41 × 53,763.21
  4. Step 4: Simplify right side
    159,017.85x = 12,815,988,516.30
  5. Step 5: Solve for x
    x = 12,815,988,516.30/159,017.85
  6. Step 6: Final answer
    x = 80,594.65

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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.