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Finding the Fourth Proportional to 180,185.84, 269,872.68 and 86,761.52

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Solution

The fourth proportional to 180,185.84, 269,872.68 and 86,761.52 is: 129,946.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,185.84 : 269,872.68 = 86,761.52 : x
  2. Step 2: Convert to fraction form
    180,185.84/269,872.68 = 86,761.52/x
  3. Step 3: Cross multiply
    180,185.84x = 269,872.68 × 86,761.52
  4. Step 4: Simplify right side
    180,185.84x = 23,414,563,923.27
  5. Step 5: Solve for x
    x = 23,414,563,923.27/180,185.84
  6. Step 6: Final answer
    x = 129,946.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.