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Finding the Fourth Proportional to 143,970, 198,678.78 and 80,311.86

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Solution

The fourth proportional to 143,970, 198,678.78 and 80,311.86 is: 110,830.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,970 : 198,678.78 = 80,311.86 : x
  2. Step 2: Convert to fraction form
    143,970/198,678.78 = 80,311.86/x
  3. Step 3: Cross multiply
    143,970x = 198,678.78 × 80,311.86
  4. Step 4: Simplify right side
    143,970x = 15,956,262,364.33
  5. Step 5: Solve for x
    x = 15,956,262,364.33/143,970
  6. Step 6: Final answer
    x = 110,830.47

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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.