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Finding the Fourth Proportional to 143,794.98, 198,451.90 and 86,453.04

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Solution

The fourth proportional to 143,794.98, 198,451.90 and 86,453.04 is: 119,314.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,794.98 : 198,451.90 = 86,453.04 : x
  2. Step 2: Convert to fraction form
    143,794.98/198,451.90 = 86,453.04/x
  3. Step 3: Cross multiply
    143,794.98x = 198,451.90 × 86,453.04
  4. Step 4: Simplify right side
    143,794.98x = 17,156,770,048.78
  5. Step 5: Solve for x
    x = 17,156,770,048.78/143,794.98
  6. Step 6: Final answer
    x = 119,314.11

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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.