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Finding the Fourth Proportional to 57,081.36, 78,768 and 31,926

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Solution

The fourth proportional to 57,081.36, 78,768 and 31,926 is: 44,055.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,081.36 : 78,768 = 31,926 : x
  2. Step 2: Convert to fraction form
    57,081.36/78,768 = 31,926/x
  3. Step 3: Cross multiply
    57,081.36x = 78,768 × 31,926
  4. Step 4: Simplify right side
    57,081.36x = 2,514,747,168
  5. Step 5: Solve for x
    x = 2,514,747,168/57,081.36
  6. Step 6: Final answer
    x = 44,055.49

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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.