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Finding the Fourth Proportional to 29,105.94, 43,613.20 and 20,238.49

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Solution

The fourth proportional to 29,105.94, 43,613.20 and 20,238.49 is: 30,325.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,105.94 : 43,613.20 = 20,238.49 : x
  2. Step 2: Convert to fraction form
    29,105.94/43,613.20 = 20,238.49/x
  3. Step 3: Cross multiply
    29,105.94x = 43,613.20 × 20,238.49
  4. Step 4: Simplify right side
    29,105.94x = 882,665,312.07
  5. Step 5: Solve for x
    x = 882,665,312.07/29,105.94
  6. Step 6: Final answer
    x = 30,325.95

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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.