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Finding the Fourth Proportional to 81,457.82, 122,205.86 and 25,295.04

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Solution

The fourth proportional to 81,457.82, 122,205.86 and 25,295.04 is: 37,948.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,457.82 : 122,205.86 = 25,295.04 : x
  2. Step 2: Convert to fraction form
    81,457.82/122,205.86 = 25,295.04/x
  3. Step 3: Cross multiply
    81,457.82x = 122,205.86 × 25,295.04
  4. Step 4: Simplify right side
    81,457.82x = 3,091,202,116.93
  5. Step 5: Solve for x
    x = 3,091,202,116.93/81,457.82
  6. Step 6: Final answer
    x = 37,948.50

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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.