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Finding the Fourth Proportional to 111,154.38, 166,738.98 and 39,098.64

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Solution

The fourth proportional to 111,154.38, 166,738.98 and 39,098.64 is: 58,650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,154.38 : 166,738.98 = 39,098.64 : x
  2. Step 2: Convert to fraction form
    111,154.38/166,738.98 = 39,098.64/x
  3. Step 3: Cross multiply
    111,154.38x = 166,738.98 × 39,098.64
  4. Step 4: Simplify right side
    111,154.38x = 6,519,267,352.99
  5. Step 5: Solve for x
    x = 6,519,267,352.99/111,154.38
  6. Step 6: Final answer
    x = 58,650.57

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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.