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Finding the Fourth Proportional to 57,565.20, 86,266.80 and 45,739.20

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Solution

The fourth proportional to 57,565.20, 86,266.80 and 45,739.20 is: 68,544.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,565.20 : 86,266.80 = 45,739.20 : x
  2. Step 2: Convert to fraction form
    57,565.20/86,266.80 = 45,739.20/x
  3. Step 3: Cross multiply
    57,565.20x = 86,266.80 × 45,739.20
  4. Step 4: Simplify right side
    57,565.20x = 3,945,774,418.56
  5. Step 5: Solve for x
    x = 3,945,774,418.56/57,565.20
  6. Step 6: Final answer
    x = 68,544.44

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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.