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Finding the Fourth Proportional to 172,719, 259,078.50 and 74,223

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Solution

The fourth proportional to 172,719, 259,078.50 and 74,223 is: 111,334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,719 : 259,078.50 = 74,223 : x
  2. Step 2: Convert to fraction form
    172,719/259,078.50 = 74,223/x
  3. Step 3: Cross multiply
    172,719x = 259,078.50 × 74,223
  4. Step 4: Simplify right side
    172,719x = 19,229,583,505.50
  5. Step 5: Solve for x
    x = 19,229,583,505.50/172,719
  6. Step 6: Final answer
    x = 111,334.50

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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.