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Finding the Fourth Proportional to 56,255.36, 77,629.92 and 31,104.32

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Solution

The fourth proportional to 56,255.36, 77,629.92 and 31,104.32 is: 42,922.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,255.36 : 77,629.92 = 31,104.32 : x
  2. Step 2: Convert to fraction form
    56,255.36/77,629.92 = 31,104.32/x
  3. Step 3: Cross multiply
    56,255.36x = 77,629.92 × 31,104.32
  4. Step 4: Simplify right side
    56,255.36x = 2,414,625,873.25
  5. Step 5: Solve for x
    x = 2,414,625,873.25/56,255.36
  6. Step 6: Final answer
    x = 42,922.59

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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.