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Finding the Fourth Proportional to 56,958.70, 85,447.29 and 21,422.80

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Solution

The fourth proportional to 56,958.70, 85,447.29 and 21,422.80 is: 32,137.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,958.70 : 85,447.29 = 21,422.80 : x
  2. Step 2: Convert to fraction form
    56,958.70/85,447.29 = 21,422.80/x
  3. Step 3: Cross multiply
    56,958.70x = 85,447.29 × 21,422.80
  4. Step 4: Simplify right side
    56,958.70x = 1,830,520,204.21
  5. Step 5: Solve for x
    x = 1,830,520,204.21/56,958.70
  6. Step 6: Final answer
    x = 32,137.68

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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.