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Finding the Fourth Proportional to 56,754.78, 85,131.96 and 17,311.80

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Solution

The fourth proportional to 56,754.78, 85,131.96 and 17,311.80 is: 25,967.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,754.78 : 85,131.96 = 17,311.80 : x
  2. Step 2: Convert to fraction form
    56,754.78/85,131.96 = 17,311.80/x
  3. Step 3: Cross multiply
    56,754.78x = 85,131.96 × 17,311.80
  4. Step 4: Simplify right side
    56,754.78x = 1,473,787,465.13
  5. Step 5: Solve for x
    x = 1,473,787,465.13/56,754.78
  6. Step 6: Final answer
    x = 25,967.64

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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.