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Finding the Fourth Proportional to 117,183.84, 161,723.70 and 66,205.98

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Solution

The fourth proportional to 117,183.84, 161,723.70 and 66,205.98 is: 91,369.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,183.84 : 161,723.70 = 66,205.98 : x
  2. Step 2: Convert to fraction form
    117,183.84/161,723.70 = 66,205.98/x
  3. Step 3: Cross multiply
    117,183.84x = 161,723.70 × 66,205.98
  4. Step 4: Simplify right side
    117,183.84x = 10,707,076,047.73
  5. Step 5: Solve for x
    x = 10,707,076,047.73/117,183.84
  6. Step 6: Final answer
    x = 91,369.90

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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.