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Finding the Fourth Proportional to 172,838.70, 259,258.05 and 54,519.27

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Solution

The fourth proportional to 172,838.70, 259,258.05 and 54,519.27 is: 81,778.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,838.70 : 259,258.05 = 54,519.27 : x
  2. Step 2: Convert to fraction form
    172,838.70/259,258.05 = 54,519.27/x
  3. Step 3: Cross multiply
    172,838.70x = 259,258.05 × 54,519.27
  4. Step 4: Simplify right side
    172,838.70x = 14,134,559,627.62
  5. Step 5: Solve for x
    x = 14,134,559,627.62/172,838.70
  6. Step 6: Final answer
    x = 81,778.91

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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.