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Finding the Fourth Proportional to 61,961.88, 92,955.78 and 30,780.12

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Solution

The fourth proportional to 61,961.88, 92,955.78 and 30,780.12 is: 46,176.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,961.88 : 92,955.78 = 30,780.12 : x
  2. Step 2: Convert to fraction form
    61,961.88/92,955.78 = 30,780.12/x
  3. Step 3: Cross multiply
    61,961.88x = 92,955.78 × 30,780.12
  4. Step 4: Simplify right side
    61,961.88x = 2,861,190,063.09
  5. Step 5: Solve for x
    x = 2,861,190,063.09/61,961.88
  6. Step 6: Final answer
    x = 46,176.62

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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.