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Finding the Fourth Proportional to 219,398.14, 329,109.97 and 61,638.90

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Solution

The fourth proportional to 219,398.14, 329,109.97 and 61,638.90 is: 92,461.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,398.14 : 329,109.97 = 61,638.90 : x
  2. Step 2: Convert to fraction form
    219,398.14/329,109.97 = 61,638.90/x
  3. Step 3: Cross multiply
    219,398.14x = 329,109.97 × 61,638.90
  4. Step 4: Simplify right side
    219,398.14x = 20,285,974,884.28
  5. Step 5: Solve for x
    x = 20,285,974,884.28/219,398.14
  6. Step 6: Final answer
    x = 92,461.93

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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.