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Finding the Fourth Proportional to 180,831.66, 271,300.44 and 80,969.60

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Solution

The fourth proportional to 180,831.66, 271,300.44 and 80,969.60 is: 121,478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,831.66 : 271,300.44 = 80,969.60 : x
  2. Step 2: Convert to fraction form
    180,831.66/271,300.44 = 80,969.60/x
  3. Step 3: Cross multiply
    180,831.66x = 271,300.44 × 80,969.60
  4. Step 4: Simplify right side
    180,831.66x = 21,967,086,750.12
  5. Step 5: Solve for x
    x = 21,967,086,750.12/180,831.66
  6. Step 6: Final answer
    x = 121,478.10

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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.