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Finding the Fourth Proportional to 159,494.82, 239,289 and 47,178

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Solution

The fourth proportional to 159,494.82, 239,289 and 47,178 is: 70,780.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,494.82 : 239,289 = 47,178 : x
  2. Step 2: Convert to fraction form
    159,494.82/239,289 = 47,178/x
  3. Step 3: Cross multiply
    159,494.82x = 239,289 × 47,178
  4. Step 4: Simplify right side
    159,494.82x = 11,289,176,442
  5. Step 5: Solve for x
    x = 11,289,176,442/159,494.82
  6. Step 6: Final answer
    x = 70,780.83

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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.