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Finding the Fourth Proportional to 81,385.92, 122,071.95 and 25,224.75

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Solution

The fourth proportional to 81,385.92, 122,071.95 and 25,224.75 is: 37,834.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,385.92 : 122,071.95 = 25,224.75 : x
  2. Step 2: Convert to fraction form
    81,385.92/122,071.95 = 25,224.75/x
  3. Step 3: Cross multiply
    81,385.92x = 122,071.95 × 25,224.75
  4. Step 4: Simplify right side
    81,385.92x = 3,079,234,420.76
  5. Step 5: Solve for x
    x = 3,079,234,420.76/81,385.92
  6. Step 6: Final answer
    x = 37,834.98

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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.