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Finding the Fourth Proportional to 180,831.80, 271,290.90 and 87,260.60

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Solution

The fourth proportional to 180,831.80, 271,290.90 and 87,260.60 is: 130,911.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,831.80 : 271,290.90 = 87,260.60 : x
  2. Step 2: Convert to fraction form
    180,831.80/271,290.90 = 87,260.60/x
  3. Step 3: Cross multiply
    180,831.80x = 271,290.90 × 87,260.60
  4. Step 4: Simplify right side
    180,831.80x = 23,673,006,708.54
  5. Step 5: Solve for x
    x = 23,673,006,708.54/180,831.80
  6. Step 6: Final answer
    x = 130,911.75

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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.