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Finding the Fourth Proportional to 221,443.78, 331,666.26 and 102,865.58

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Solution

The fourth proportional to 221,443.78, 331,666.26 and 102,865.58 is: 154,066.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,443.78 : 331,666.26 = 102,865.58 : x
  2. Step 2: Convert to fraction form
    221,443.78/331,666.26 = 102,865.58/x
  3. Step 3: Cross multiply
    221,443.78x = 331,666.26 × 102,865.58
  4. Step 4: Simplify right side
    221,443.78x = 34,117,042,794.37
  5. Step 5: Solve for x
    x = 34,117,042,794.37/221,443.78
  6. Step 6: Final answer
    x = 154,066.39

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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.