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Finding the Fourth Proportional to 30,078, 41,508.52 and 16,650.50

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Solution

The fourth proportional to 30,078, 41,508.52 and 16,650.50 is: 22,978.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,078 : 41,508.52 = 16,650.50 : x
  2. Step 2: Convert to fraction form
    30,078/41,508.52 = 16,650.50/x
  3. Step 3: Cross multiply
    30,078x = 41,508.52 × 16,650.50
  4. Step 4: Simplify right side
    30,078x = 691,137,363.09
  5. Step 5: Solve for x
    x = 691,137,363.09/30,078
  6. Step 6: Final answer
    x = 22,978.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.