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Finding the Fourth Proportional to 61,511.80, 92,194.80 and 31,914.40

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Solution

The fourth proportional to 61,511.80, 92,194.80 and 31,914.40 is: 47,833.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,511.80 : 92,194.80 = 31,914.40 : x
  2. Step 2: Convert to fraction form
    61,511.80/92,194.80 = 31,914.40/x
  3. Step 3: Cross multiply
    61,511.80x = 92,194.80 × 31,914.40
  4. Step 4: Simplify right side
    61,511.80x = 2,942,341,725.12
  5. Step 5: Solve for x
    x = 2,942,341,725.12/61,511.80
  6. Step 6: Final answer
    x = 47,833.78

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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.