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Finding the Fourth Proportional to 57,889, 79,887.30 and 31,393

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Solution

The fourth proportional to 57,889, 79,887.30 and 31,393 is: 43,322.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,889 : 79,887.30 = 31,393 : x
  2. Step 2: Convert to fraction form
    57,889/79,887.30 = 31,393/x
  3. Step 3: Cross multiply
    57,889x = 79,887.30 × 31,393
  4. Step 4: Simplify right side
    57,889x = 2,507,902,008.90
  5. Step 5: Solve for x
    x = 2,507,902,008.90/57,889
  6. Step 6: Final answer
    x = 43,322.60

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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.