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Finding the Fourth Proportional to 144,165.81, 198,947.98 and 80,503.66

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Solution

The fourth proportional to 144,165.81, 198,947.98 and 80,503.66 is: 111,094.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,165.81 : 198,947.98 = 80,503.66 : x
  2. Step 2: Convert to fraction form
    144,165.81/198,947.98 = 80,503.66/x
  3. Step 3: Cross multiply
    144,165.81x = 198,947.98 × 80,503.66
  4. Step 4: Simplify right side
    144,165.81x = 16,016,040,539.61
  5. Step 5: Solve for x
    x = 16,016,040,539.61/144,165.81
  6. Step 6: Final answer
    x = 111,094.58

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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.