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Finding the Fourth Proportional to 221,165.67, 331,748.74 and 54,953.67

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Solution

The fourth proportional to 221,165.67, 331,748.74 and 54,953.67 is: 82,430.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,165.67 : 331,748.74 = 54,953.67 : x
  2. Step 2: Convert to fraction form
    221,165.67/331,748.74 = 54,953.67/x
  3. Step 3: Cross multiply
    221,165.67x = 331,748.74 × 54,953.67
  4. Step 4: Simplify right side
    221,165.67x = 18,230,810,780.88
  5. Step 5: Solve for x
    x = 18,230,810,780.88/221,165.67
  6. Step 6: Final answer
    x = 82,430.56

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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.