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Finding the Fourth Proportional to 45,048.66, 67,588.50 and 20,105.94

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Solution

The fourth proportional to 45,048.66, 67,588.50 and 20,105.94 is: 30,165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,048.66 : 67,588.50 = 20,105.94 : x
  2. Step 2: Convert to fraction form
    45,048.66/67,588.50 = 20,105.94/x
  3. Step 3: Cross multiply
    45,048.66x = 67,588.50 × 20,105.94
  4. Step 4: Simplify right side
    45,048.66x = 1,358,930,325.69
  5. Step 5: Solve for x
    x = 1,358,930,325.69/45,048.66
  6. Step 6: Final answer
    x = 30,165.83

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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.