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Finding the Fourth Proportional to 143,598.33, 198,151.35 and 83,188.41

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Solution

The fourth proportional to 143,598.33, 198,151.35 and 83,188.41 is: 114,791.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,598.33 : 198,151.35 = 83,188.41 : x
  2. Step 2: Convert to fraction form
    143,598.33/198,151.35 = 83,188.41/x
  3. Step 3: Cross multiply
    143,598.33x = 198,151.35 × 83,188.41
  4. Step 4: Simplify right side
    143,598.33x = 16,483,895,745.85
  5. Step 5: Solve for x
    x = 16,483,895,745.85/143,598.33
  6. Step 6: Final answer
    x = 114,791.70

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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.