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Finding the Fourth Proportional to 67,329, 100,993.50 and 25,776

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Solution

The fourth proportional to 67,329, 100,993.50 and 25,776 is: 38,664

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,329 : 100,993.50 = 25,776 : x
  2. Step 2: Convert to fraction form
    67,329/100,993.50 = 25,776/x
  3. Step 3: Cross multiply
    67,329x = 100,993.50 × 25,776
  4. Step 4: Simplify right side
    67,329x = 2,603,208,456
  5. Step 5: Solve for x
    x = 2,603,208,456/67,329
  6. Step 6: Final answer
    x = 38,664

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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.