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Finding the Fourth Proportional to 131,221, 196,860.66 and 48,115

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Solution

The fourth proportional to 131,221, 196,860.66 and 48,115 is: 72,183.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,221 : 196,860.66 = 48,115 : x
  2. Step 2: Convert to fraction form
    131,221/196,860.66 = 48,115/x
  3. Step 3: Cross multiply
    131,221x = 196,860.66 × 48,115
  4. Step 4: Simplify right side
    131,221x = 9,471,950,655.90
  5. Step 5: Solve for x
    x = 9,471,950,655.90/131,221
  6. Step 6: Final answer
    x = 72,183.19

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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.