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Finding the Fourth Proportional to 49,128, 73,692.12 and 12,192

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Solution

The fourth proportional to 49,128, 73,692.12 and 12,192 is: 18,288.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,128 : 73,692.12 = 12,192 : x
  2. Step 2: Convert to fraction form
    49,128/73,692.12 = 12,192/x
  3. Step 3: Cross multiply
    49,128x = 73,692.12 × 12,192
  4. Step 4: Simplify right side
    49,128x = 898,454,327.04
  5. Step 5: Solve for x
    x = 898,454,327.04/49,128
  6. Step 6: Final answer
    x = 18,288.03

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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.