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Finding the Fourth Proportional to 180,108.14, 270,169.50 and 67,776.53

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Solution

The fourth proportional to 180,108.14, 270,169.50 and 67,776.53 is: 101,667.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,108.14 : 270,169.50 = 67,776.53 : x
  2. Step 2: Convert to fraction form
    180,108.14/270,169.50 = 67,776.53/x
  3. Step 3: Cross multiply
    180,108.14x = 270,169.50 × 67,776.53
  4. Step 4: Simplify right side
    180,108.14x = 18,311,152,151.42
  5. Step 5: Solve for x
    x = 18,311,152,151.42/180,108.14
  6. Step 6: Final answer
    x = 101,667.54

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