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Finding the Fourth Proportional to 221,372.64, 332,057.88 and 102,978.72

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Solution

The fourth proportional to 221,372.64, 332,057.88 and 102,978.72 is: 154,467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,372.64 : 332,057.88 = 102,978.72 : x
  2. Step 2: Convert to fraction form
    221,372.64/332,057.88 = 102,978.72/x
  3. Step 3: Cross multiply
    221,372.64x = 332,057.88 × 102,978.72
  4. Step 4: Simplify right side
    221,372.64x = 34,194,895,448.31
  5. Step 5: Solve for x
    x = 34,194,895,448.31/221,372.64
  6. Step 6: Final answer
    x = 154,467.58

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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.