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Finding the Fourth Proportional to 111,178.77, 166,593.25 and 85,939.98

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Solution

The fourth proportional to 111,178.77, 166,593.25 and 85,939.98 is: 128,774.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,178.77 : 166,593.25 = 85,939.98 : x
  2. Step 2: Convert to fraction form
    111,178.77/166,593.25 = 85,939.98/x
  3. Step 3: Cross multiply
    111,178.77x = 166,593.25 × 85,939.98
  4. Step 4: Simplify right side
    111,178.77x = 14,317,020,573.14
  5. Step 5: Solve for x
    x = 14,317,020,573.14/111,178.77
  6. Step 6: Final answer
    x = 128,774.77

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Why These Related Problems?

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