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Finding the Fourth Proportional to 35,109, 48,450.42 and 20,213.64

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Solution

The fourth proportional to 35,109, 48,450.42 and 20,213.64 is: 27,894.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,109 : 48,450.42 = 20,213.64 : x
  2. Step 2: Convert to fraction form
    35,109/48,450.42 = 20,213.64/x
  3. Step 3: Cross multiply
    35,109x = 48,450.42 × 20,213.64
  4. Step 4: Simplify right side
    35,109x = 979,359,347.73
  5. Step 5: Solve for x
    x = 979,359,347.73/35,109
  6. Step 6: Final answer
    x = 27,894.82

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1.5x scale

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.