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Finding the Fourth Proportional to 143,889, 198,591.39 and 83,478.48

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Solution

The fourth proportional to 143,889, 198,591.39 and 83,478.48 is: 115,214.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,889 : 198,591.39 = 83,478.48 : x
  2. Step 2: Convert to fraction form
    143,889/198,591.39 = 83,478.48/x
  3. Step 3: Cross multiply
    143,889x = 198,591.39 × 83,478.48
  4. Step 4: Simplify right side
    143,889x = 16,578,107,378.29
  5. Step 5: Solve for x
    x = 16,578,107,378.29/143,889
  6. Step 6: Final answer
    x = 115,214.56

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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.