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Finding the Fourth Proportional to 143,598.64, 198,163 and 83,180.20

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Solution

The fourth proportional to 143,598.64, 198,163 and 83,180.20 is: 114,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,598.64 : 198,163 = 83,180.20 : x
  2. Step 2: Convert to fraction form
    143,598.64/198,163 = 83,180.20/x
  3. Step 3: Cross multiply
    143,598.64x = 198,163 × 83,180.20
  4. Step 4: Simplify right side
    143,598.64x = 16,483,237,972.60
  5. Step 5: Solve for x
    x = 16,483,237,972.60/143,598.64
  6. Step 6: Final answer
    x = 114,786.87

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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.