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Finding the Fourth Proportional to 143,663.86, 198,248.49 and 82,406.89

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Solution

The fourth proportional to 143,663.86, 198,248.49 and 82,406.89 is: 113,717.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,663.86 : 198,248.49 = 82,406.89 : x
  2. Step 2: Convert to fraction form
    143,663.86/198,248.49 = 82,406.89/x
  3. Step 3: Cross multiply
    143,663.86x = 198,248.49 × 82,406.89
  4. Step 4: Simplify right side
    143,663.86x = 16,337,041,508.10
  5. Step 5: Solve for x
    x = 16,337,041,508.10/143,663.86
  6. Step 6: Final answer
    x = 113,717.13

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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.