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Finding the Fourth Proportional to 143,603.89, 198,156.17 and 83,166.14

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Solution

The fourth proportional to 143,603.89, 198,156.17 and 83,166.14 is: 114,759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,603.89 : 198,156.17 = 83,166.14 : x
  2. Step 2: Convert to fraction form
    143,603.89/198,156.17 = 83,166.14/x
  3. Step 3: Cross multiply
    143,603.89x = 198,156.17 × 83,166.14
  4. Step 4: Simplify right side
    143,603.89x = 16,479,884,479.39
  5. Step 5: Solve for x
    x = 16,479,884,479.39/143,603.89
  6. Step 6: Final answer
    x = 114,759.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.