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Finding the Fourth Proportional to 30,201.89, 45,299.31 and 8,016.98

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Solution

The fourth proportional to 30,201.89, 45,299.31 and 8,016.98 is: 12,024.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,201.89 : 45,299.31 = 8,016.98 : x
  2. Step 2: Convert to fraction form
    30,201.89/45,299.31 = 8,016.98/x
  3. Step 3: Cross multiply
    30,201.89x = 45,299.31 × 8,016.98
  4. Step 4: Simplify right side
    30,201.89x = 363,163,622.20
  5. Step 5: Solve for x
    x = 363,163,622.20/30,201.89
  6. Step 6: Final answer
    x = 12,024.53

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1.5x scale

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.