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Finding the Fourth Proportional to 55,464, 76,540.32 and 30,313.44

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Solution

The fourth proportional to 55,464, 76,540.32 and 30,313.44 is: 41,832.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,464 : 76,540.32 = 30,313.44 : x
  2. Step 2: Convert to fraction form
    55,464/76,540.32 = 30,313.44/x
  3. Step 3: Cross multiply
    55,464x = 76,540.32 × 30,313.44
  4. Step 4: Simplify right side
    55,464x = 2,320,200,397.90
  5. Step 5: Solve for x
    x = 2,320,200,397.90/55,464
  6. Step 6: Final answer
    x = 41,832.55

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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.