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Finding the Fourth Proportional to 56,394.56, 77,826.84 and 31,244

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Solution

The fourth proportional to 56,394.56, 77,826.84 and 31,244 is: 43,118.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,394.56 : 77,826.84 = 31,244 : x
  2. Step 2: Convert to fraction form
    56,394.56/77,826.84 = 31,244/x
  3. Step 3: Cross multiply
    56,394.56x = 77,826.84 × 31,244
  4. Step 4: Simplify right side
    56,394.56x = 2,431,621,788.96
  5. Step 5: Solve for x
    x = 2,431,621,788.96/56,394.56
  6. Step 6: Final answer
    x = 43,118.02

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Why These Related Problems?

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