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Finding the Fourth Proportional to 57,738, 79,678.44 and 31,242

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Solution

The fourth proportional to 57,738, 79,678.44 and 31,242 is: 43,113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,738 : 79,678.44 = 31,242 : x
  2. Step 2: Convert to fraction form
    57,738/79,678.44 = 31,242/x
  3. Step 3: Cross multiply
    57,738x = 79,678.44 × 31,242
  4. Step 4: Simplify right side
    57,738x = 2,489,313,822.48
  5. Step 5: Solve for x
    x = 2,489,313,822.48/57,738
  6. Step 6: Final answer
    x = 43,113.96

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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.