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Finding the Fourth Proportional to 181,648.52, 250,709.65 and 120,286.55

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Solution

The fourth proportional to 181,648.52, 250,709.65 and 120,286.55 is: 166,018.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,648.52 : 250,709.65 = 120,286.55 : x
  2. Step 2: Convert to fraction form
    181,648.52/250,709.65 = 120,286.55/x
  3. Step 3: Cross multiply
    181,648.52x = 250,709.65 × 120,286.55
  4. Step 4: Simplify right side
    181,648.52x = 30,156,999,176.27
  5. Step 5: Solve for x
    x = 30,156,999,176.27/181,648.52
  6. Step 6: Final answer
    x = 166,018.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.