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Finding the Fourth Proportional to 57,278.40, 85,939.20 and 27,722.40

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Solution

The fourth proportional to 57,278.40, 85,939.20 and 27,722.40 is: 41,594.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,278.40 : 85,939.20 = 27,722.40 : x
  2. Step 2: Convert to fraction form
    57,278.40/85,939.20 = 27,722.40/x
  3. Step 3: Cross multiply
    57,278.40x = 85,939.20 × 27,722.40
  4. Step 4: Simplify right side
    57,278.40x = 2,382,440,878.08
  5. Step 5: Solve for x
    x = 2,382,440,878.08/57,278.40
  6. Step 6: Final answer
    x = 41,594.05

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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.