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Finding the Fourth Proportional to 74,692.20, 111,939.90 and 54,877.80

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Solution

The fourth proportional to 74,692.20, 111,939.90 and 54,877.80 is: 82,244.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,692.20 : 111,939.90 = 54,877.80 : x
  2. Step 2: Convert to fraction form
    74,692.20/111,939.90 = 54,877.80/x
  3. Step 3: Cross multiply
    74,692.20x = 111,939.90 × 54,877.80
  4. Step 4: Simplify right side
    74,692.20x = 6,143,015,444.22
  5. Step 5: Solve for x
    x = 6,143,015,444.22/74,692.20
  6. Step 6: Final answer
    x = 82,244.40

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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.