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Finding the Fourth Proportional to 56,682.39, 78,222.12 and 31,531.89

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Solution

The fourth proportional to 56,682.39, 78,222.12 and 31,531.89 is: 43,514.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,682.39 : 78,222.12 = 31,531.89 : x
  2. Step 2: Convert to fraction form
    56,682.39/78,222.12 = 31,531.89/x
  3. Step 3: Cross multiply
    56,682.39x = 78,222.12 × 31,531.89
  4. Step 4: Simplify right side
    56,682.39x = 2,466,491,283.41
  5. Step 5: Solve for x
    x = 2,466,491,283.41/56,682.39
  6. Step 6: Final answer
    x = 43,514.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.