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Finding the Fourth Proportional to 56,811.88, 85,174.62 and 30,494.44

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Solution

The fourth proportional to 56,811.88, 85,174.62 and 30,494.44 is: 45,718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,811.88 : 85,174.62 = 30,494.44 : x
  2. Step 2: Convert to fraction form
    56,811.88/85,174.62 = 30,494.44/x
  3. Step 3: Cross multiply
    56,811.88x = 85,174.62 × 30,494.44
  4. Step 4: Simplify right side
    56,811.88x = 2,597,352,339.11
  5. Step 5: Solve for x
    x = 2,597,352,339.11/56,811.88
  6. Step 6: Final answer
    x = 45,718.47

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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.