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Finding the Fourth Proportional to 173,111.80, 259,640.70 and 54,812.20

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Solution

The fourth proportional to 173,111.80, 259,640.70 and 54,812.20 is: 82,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,111.80 : 259,640.70 = 54,812.20 : x
  2. Step 2: Convert to fraction form
    173,111.80/259,640.70 = 54,812.20/x
  3. Step 3: Cross multiply
    173,111.80x = 259,640.70 × 54,812.20
  4. Step 4: Simplify right side
    173,111.80x = 14,231,477,976.54
  5. Step 5: Solve for x
    x = 14,231,477,976.54/173,111.80
  6. Step 6: Final answer
    x = 82,209.75

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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.