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Finding the Fourth Proportional to 57,764, 79,714.56 and 31,268

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Solution

The fourth proportional to 57,764, 79,714.56 and 31,268 is: 43,149.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,764 : 79,714.56 = 31,268 : x
  2. Step 2: Convert to fraction form
    57,764/79,714.56 = 31,268/x
  3. Step 3: Cross multiply
    57,764x = 79,714.56 × 31,268
  4. Step 4: Simplify right side
    57,764x = 2,492,514,862.08
  5. Step 5: Solve for x
    x = 2,492,514,862.08/57,764
  6. Step 6: Final answer
    x = 43,149.97

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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.