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Finding the Fourth Proportional to 143,813, 198,462.60 and 83,419.40

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Solution

The fourth proportional to 143,813, 198,462.60 and 83,419.40 is: 115,119.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,813 : 198,462.60 = 83,419.40 : x
  2. Step 2: Convert to fraction form
    143,813/198,462.60 = 83,419.40/x
  3. Step 3: Cross multiply
    143,813x = 198,462.60 × 83,419.40
  4. Step 4: Simplify right side
    143,813x = 16,555,631,014.44
  5. Step 5: Solve for x
    x = 16,555,631,014.44/143,813
  6. Step 6: Final answer
    x = 115,119.15

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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.