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Finding the Fourth Proportional to 36,123.70, 49,848.39 and 20,205.40

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Solution

The fourth proportional to 36,123.70, 49,848.39 and 20,205.40 is: 27,882.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,123.70 : 49,848.39 = 20,205.40 : x
  2. Step 2: Convert to fraction form
    36,123.70/49,848.39 = 20,205.40/x
  3. Step 3: Cross multiply
    36,123.70x = 49,848.39 × 20,205.40
  4. Step 4: Simplify right side
    36,123.70x = 1,007,206,659.31
  5. Step 5: Solve for x
    x = 1,007,206,659.31/36,123.70
  6. Step 6: Final answer
    x = 27,882.16

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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.