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Finding the Fourth Proportional to 57,810, 79,777.80 and 31,314

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Solution

The fourth proportional to 57,810, 79,777.80 and 31,314 is: 43,213.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,810 : 79,777.80 = 31,314 : x
  2. Step 2: Convert to fraction form
    57,810/79,777.80 = 31,314/x
  3. Step 3: Cross multiply
    57,810x = 79,777.80 × 31,314
  4. Step 4: Simplify right side
    57,810x = 2,498,162,029.20
  5. Step 5: Solve for x
    x = 2,498,162,029.20/57,810
  6. Step 6: Final answer
    x = 43,213.32

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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.