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Finding the Fourth Proportional to 143,761.96, 198,392.31 and 83,368.45

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Solution

The fourth proportional to 143,761.96, 198,392.31 and 83,368.45 is: 115,048.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,761.96 : 198,392.31 = 83,368.45 : x
  2. Step 2: Convert to fraction form
    143,761.96/198,392.31 = 83,368.45/x
  3. Step 3: Cross multiply
    143,761.96x = 198,392.31 × 83,368.45
  4. Step 4: Simplify right side
    143,761.96x = 16,539,659,376.62
  5. Step 5: Solve for x
    x = 16,539,659,376.62/143,761.96
  6. Step 6: Final answer
    x = 115,048.93

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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.