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Finding the Fourth Proportional to 90,560.99, 135,861.63 and 29,774

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Solution

The fourth proportional to 90,560.99, 135,861.63 and 29,774 is: 44,667.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,560.99 : 135,861.63 = 29,774 : x
  2. Step 2: Convert to fraction form
    90,560.99/135,861.63 = 29,774/x
  3. Step 3: Cross multiply
    90,560.99x = 135,861.63 × 29,774
  4. Step 4: Simplify right side
    90,560.99x = 4,045,144,171.62
  5. Step 5: Solve for x
    x = 4,045,144,171.62/90,560.99
  6. Step 6: Final answer
    x = 44,667.62

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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.