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Finding the Fourth Proportional to 219,021.72, 328,573.10 and 69,299.70

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Solution

The fourth proportional to 219,021.72, 328,573.10 and 69,299.70 is: 103,962.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,021.72 : 328,573.10 = 69,299.70 : x
  2. Step 2: Convert to fraction form
    219,021.72/328,573.10 = 69,299.70/x
  3. Step 3: Cross multiply
    219,021.72x = 328,573.10 × 69,299.70
  4. Step 4: Simplify right side
    219,021.72x = 22,770,017,258.07
  5. Step 5: Solve for x
    x = 22,770,017,258.07/219,021.72
  6. Step 6: Final answer
    x = 103,962.37

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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.