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Finding the Fourth Proportional to 57,788, 79,747.44 and 31,292

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Solution

The fourth proportional to 57,788, 79,747.44 and 31,292 is: 43,182.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,788 : 79,747.44 = 31,292 : x
  2. Step 2: Convert to fraction form
    57,788/79,747.44 = 31,292/x
  3. Step 3: Cross multiply
    57,788x = 79,747.44 × 31,292
  4. Step 4: Simplify right side
    57,788x = 2,495,456,892.48
  5. Step 5: Solve for x
    x = 2,495,456,892.48/57,788
  6. Step 6: Final answer
    x = 43,182.96

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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.