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Finding the Fourth Proportional to 143,664.86, 198,249.87 and 82,407.89

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Solution

The fourth proportional to 143,664.86, 198,249.87 and 82,407.89 is: 113,718.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,664.86 : 198,249.87 = 82,407.89 : x
  2. Step 2: Convert to fraction form
    143,664.86/198,249.87 = 82,407.89/x
  3. Step 3: Cross multiply
    143,664.86x = 198,249.87 × 82,407.89
  4. Step 4: Simplify right side
    143,664.86x = 16,337,353,479.47
  5. Step 5: Solve for x
    x = 16,337,353,479.47/143,664.86
  6. Step 6: Final answer
    x = 113,718.51

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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.