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Finding the Fourth Proportional to 81,199, 121,817.94 and 25,795

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Solution

The fourth proportional to 81,199, 121,817.94 and 25,795 is: 38,698.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,199 : 121,817.94 = 25,795 : x
  2. Step 2: Convert to fraction form
    81,199/121,817.94 = 25,795/x
  3. Step 3: Cross multiply
    81,199x = 121,817.94 × 25,795
  4. Step 4: Simplify right side
    81,199x = 3,142,293,762.30
  5. Step 5: Solve for x
    x = 3,142,293,762.30/81,199
  6. Step 6: Final answer
    x = 38,698.68

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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.