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Finding the Fourth Proportional to 81,792.41, 122,688.43 and 25,636.80

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Solution

The fourth proportional to 81,792.41, 122,688.43 and 25,636.80 is: 38,455.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,792.41 : 122,688.43 = 25,636.80 : x
  2. Step 2: Convert to fraction form
    81,792.41/122,688.43 = 25,636.80/x
  3. Step 3: Cross multiply
    81,792.41x = 122,688.43 × 25,636.80
  4. Step 4: Simplify right side
    81,792.41x = 3,145,338,742.22
  5. Step 5: Solve for x
    x = 3,145,338,742.22/81,792.41
  6. Step 6: Final answer
    x = 38,455.14

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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.