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Finding the Fourth Proportional to 57,211.40, 85,825.20 and 17,764.40

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Solution

The fourth proportional to 57,211.40, 85,825.20 and 17,764.40 is: 26,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,211.40 : 85,825.20 = 17,764.40 : x
  2. Step 2: Convert to fraction form
    57,211.40/85,825.20 = 17,764.40/x
  3. Step 3: Cross multiply
    57,211.40x = 85,825.20 × 17,764.40
  4. Step 4: Simplify right side
    57,211.40x = 1,524,633,182.88
  5. Step 5: Solve for x
    x = 1,524,633,182.88/57,211.40
  6. Step 6: Final answer
    x = 26,649.12

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1.5x scale

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.