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Finding the Fourth Proportional to 143,772.81, 198,406.48 and 83,378.48

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Solution

The fourth proportional to 143,772.81, 198,406.48 and 83,378.48 is: 115,062.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,772.81 : 198,406.48 = 83,378.48 : x
  2. Step 2: Convert to fraction form
    143,772.81/198,406.48 = 83,378.48/x
  3. Step 3: Cross multiply
    143,772.81x = 198,406.48 × 83,378.48
  4. Step 4: Simplify right side
    143,772.81x = 16,542,830,796.44
  5. Step 5: Solve for x
    x = 16,542,830,796.44/143,772.81
  6. Step 6: Final answer
    x = 115,062.31

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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.