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Finding the Fourth Proportional to 219,265, 328,949.50 and 71,521

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Solution

The fourth proportional to 219,265, 328,949.50 and 71,521 is: 107,298.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,265 : 328,949.50 = 71,521 : x
  2. Step 2: Convert to fraction form
    219,265/328,949.50 = 71,521/x
  3. Step 3: Cross multiply
    219,265x = 328,949.50 × 71,521
  4. Step 4: Simplify right side
    219,265x = 23,526,797,189.50
  5. Step 5: Solve for x
    x = 23,526,797,189.50/219,265
  6. Step 6: Final answer
    x = 107,298.46

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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.