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Finding the Fourth Proportional to 143,691.86, 198,294.63 and 83,297.51

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Solution

The fourth proportional to 143,691.86, 198,294.63 and 83,297.51 is: 114,950.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,691.86 : 198,294.63 = 83,297.51 : x
  2. Step 2: Convert to fraction form
    143,691.86/198,294.63 = 83,297.51/x
  3. Step 3: Cross multiply
    143,691.86x = 198,294.63 × 83,297.51
  4. Step 4: Simplify right side
    143,691.86x = 16,517,450,183.37
  5. Step 5: Solve for x
    x = 16,517,450,183.37/143,691.86
  6. Step 6: Final answer
    x = 114,950.49

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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.