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Finding the Fourth Proportional to 219,751, 329,609.94 and 69,985.24

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Solution

The fourth proportional to 219,751, 329,609.94 and 69,985.24 is: 104,972.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,751 : 329,609.94 = 69,985.24 : x
  2. Step 2: Convert to fraction form
    219,751/329,609.94 = 69,985.24/x
  3. Step 3: Cross multiply
    219,751x = 329,609.94 × 69,985.24
  4. Step 4: Simplify right side
    219,751x = 23,067,830,757.29
  5. Step 5: Solve for x
    x = 23,067,830,757.29/219,751
  6. Step 6: Final answer
    x = 104,972.59

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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.