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Finding the Fourth Proportional to 172,821.70, 259,074.60 and 146,338.21

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Solution

The fourth proportional to 172,821.70, 259,074.60 and 146,338.21 is: 219,373.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,821.70 : 259,074.60 = 146,338.21 : x
  2. Step 2: Convert to fraction form
    172,821.70/259,074.60 = 146,338.21/x
  3. Step 3: Cross multiply
    172,821.70x = 259,074.60 × 146,338.21
  4. Step 4: Simplify right side
    172,821.70x = 37,912,513,220.47
  5. Step 5: Solve for x
    x = 37,912,513,220.47/172,821.70
  6. Step 6: Final answer
    x = 219,373.57

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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.