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Finding the Fourth Proportional to 119,144.89, 164,328.84 and 80,933.90

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Solution

The fourth proportional to 119,144.89, 164,328.84 and 80,933.90 is: 111,626.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,144.89 : 164,328.84 = 80,933.90 : x
  2. Step 2: Convert to fraction form
    119,144.89/164,328.84 = 80,933.90/x
  3. Step 3: Cross multiply
    119,144.89x = 164,328.84 × 80,933.90
  4. Step 4: Simplify right side
    119,144.89x = 13,299,773,903.68
  5. Step 5: Solve for x
    x = 13,299,773,903.68/119,144.89
  6. Step 6: Final answer
    x = 111,626.89

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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.