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Finding the Fourth Proportional to 35,138, 48,491.88 and 20,234

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Solution

The fourth proportional to 35,138, 48,491.88 and 20,234 is: 27,923.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,138 : 48,491.88 = 20,234 : x
  2. Step 2: Convert to fraction form
    35,138/48,491.88 = 20,234/x
  3. Step 3: Cross multiply
    35,138x = 48,491.88 × 20,234
  4. Step 4: Simplify right side
    35,138x = 981,184,699.92
  5. Step 5: Solve for x
    x = 981,184,699.92/35,138
  6. Step 6: Final answer
    x = 27,923.75

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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.