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Finding the Fourth Proportional to 209,353.23, 313,910.91 and 142,873.89

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Solution

The fourth proportional to 209,353.23, 313,910.91 and 142,873.89 is: 214,229.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,353.23 : 313,910.91 = 142,873.89 : x
  2. Step 2: Convert to fraction form
    209,353.23/313,910.91 = 142,873.89/x
  3. Step 3: Cross multiply
    209,353.23x = 313,910.91 × 142,873.89
  4. Step 4: Simplify right side
    209,353.23x = 44,849,672,825.14
  5. Step 5: Solve for x
    x = 44,849,672,825.14/209,353.23
  6. Step 6: Final answer
    x = 214,229.67

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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.