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Finding the Fourth Proportional to 221,213, 331,820.70 and 55,001

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Solution

The fourth proportional to 221,213, 331,820.70 and 55,001 is: 82,501.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,213 : 331,820.70 = 55,001 : x
  2. Step 2: Convert to fraction form
    221,213/331,820.70 = 55,001/x
  3. Step 3: Cross multiply
    221,213x = 331,820.70 × 55,001
  4. Step 4: Simplify right side
    221,213x = 18,250,470,320.70
  5. Step 5: Solve for x
    x = 18,250,470,320.70/221,213
  6. Step 6: Final answer
    x = 82,501.80

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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.