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Finding the Fourth Proportional to 99,441.91, 149,162.87 and 81,874.83

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Solution

The fourth proportional to 99,441.91, 149,162.87 and 81,874.83 is: 122,812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,441.91 : 149,162.87 = 81,874.83 : x
  2. Step 2: Convert to fraction form
    99,441.91/149,162.87 = 81,874.83/x
  3. Step 3: Cross multiply
    99,441.91x = 149,162.87 × 81,874.83
  4. Step 4: Simplify right side
    99,441.91x = 12,212,684,623.56
  5. Step 5: Solve for x
    x = 12,212,684,623.56/99,441.91
  6. Step 6: Final answer
    x = 122,812.25

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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.