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Finding the Fourth Proportional to 30,065.78, 41,490.14 and 16,453.78

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Solution

The fourth proportional to 30,065.78, 41,490.14 and 16,453.78 is: 22,705.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,065.78 : 41,490.14 = 16,453.78 : x
  2. Step 2: Convert to fraction form
    30,065.78/41,490.14 = 16,453.78/x
  3. Step 3: Cross multiply
    30,065.78x = 41,490.14 × 16,453.78
  4. Step 4: Simplify right side
    30,065.78x = 682,669,635.73
  5. Step 5: Solve for x
    x = 682,669,635.73/30,065.78
  6. Step 6: Final answer
    x = 22,705.87

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1.5x scale

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.