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Finding the Fourth Proportional to 111,805.30, 167,744.87 and 45,209.11

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Solution

The fourth proportional to 111,805.30, 167,744.87 and 45,209.11 is: 67,828.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,805.30 : 167,744.87 = 45,209.11 : x
  2. Step 2: Convert to fraction form
    111,805.30/167,744.87 = 45,209.11/x
  3. Step 3: Cross multiply
    111,805.30x = 167,744.87 × 45,209.11
  4. Step 4: Simplify right side
    111,805.30x = 7,583,596,279.77
  5. Step 5: Solve for x
    x = 7,583,596,279.77/111,805.30
  6. Step 6: Final answer
    x = 67,828.59

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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.