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Finding the Fourth Proportional to 81,137.86, 111,969.96 and 44,838.30

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Solution

The fourth proportional to 81,137.86, 111,969.96 and 44,838.30 is: 61,876.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,137.86 : 111,969.96 = 44,838.30 : x
  2. Step 2: Convert to fraction form
    81,137.86/111,969.96 = 44,838.30/x
  3. Step 3: Cross multiply
    81,137.86x = 111,969.96 × 44,838.30
  4. Step 4: Simplify right side
    81,137.86x = 5,020,542,657.47
  5. Step 5: Solve for x
    x = 5,020,542,657.47/81,137.86
  6. Step 6: Final answer
    x = 61,876.70

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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.