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Finding the Fourth Proportional to 143,647.87, 198,203.88 and 83,214.91

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Solution

The fourth proportional to 143,647.87, 198,203.88 and 83,214.91 is: 114,819.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,647.87 : 198,203.88 = 83,214.91 : x
  2. Step 2: Convert to fraction form
    143,647.87/198,203.88 = 83,214.91/x
  3. Step 3: Cross multiply
    143,647.87x = 198,203.88 × 83,214.91
  4. Step 4: Simplify right side
    143,647.87x = 16,493,518,035.85
  5. Step 5: Solve for x
    x = 16,493,518,035.85/143,647.87
  6. Step 6: Final answer
    x = 114,819.09

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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.