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Finding the Fourth Proportional to 61,383.28, 92,161.12 and 31,418.88

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Solution

The fourth proportional to 61,383.28, 92,161.12 and 31,418.88 is: 47,172.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,383.28 : 92,161.12 = 31,418.88 : x
  2. Step 2: Convert to fraction form
    61,383.28/92,161.12 = 31,418.88/x
  3. Step 3: Cross multiply
    61,383.28x = 92,161.12 × 31,418.88
  4. Step 4: Simplify right side
    61,383.28x = 2,895,599,169.95
  5. Step 5: Solve for x
    x = 2,895,599,169.95/61,383.28
  6. Step 6: Final answer
    x = 47,172.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.