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Finding the Fourth Proportional to 219,539.78, 329,372.92 and 107,284.70

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Solution

The fourth proportional to 219,539.78, 329,372.92 and 107,284.70 is: 160,957.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,539.78 : 329,372.92 = 107,284.70 : x
  2. Step 2: Convert to fraction form
    219,539.78/329,372.92 = 107,284.70/x
  3. Step 3: Cross multiply
    219,539.78x = 329,372.92 × 107,284.70
  4. Step 4: Simplify right side
    219,539.78x = 35,336,674,910.32
  5. Step 5: Solve for x
    x = 35,336,674,910.32/219,539.78
  6. Step 6: Final answer
    x = 160,957.96

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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.