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Finding the Fourth Proportional to 57,079.36, 78,765.24 and 31,924

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Solution

The fourth proportional to 57,079.36, 78,765.24 and 31,924 is: 44,052.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,079.36 : 78,765.24 = 31,924 : x
  2. Step 2: Convert to fraction form
    57,079.36/78,765.24 = 31,924/x
  3. Step 3: Cross multiply
    57,079.36x = 78,765.24 × 31,924
  4. Step 4: Simplify right side
    57,079.36x = 2,514,501,521.76
  5. Step 5: Solve for x
    x = 2,514,501,521.76/57,079.36
  6. Step 6: Final answer
    x = 44,052.73

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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.