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Finding the Fourth Proportional to 30,205.88, 45,305.30 and 8,020.98

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Solution

The fourth proportional to 30,205.88, 45,305.30 and 8,020.98 is: 12,030.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.88 : 45,305.30 = 8,020.98 : x
  2. Step 2: Convert to fraction form
    30,205.88/45,305.30 = 8,020.98/x
  3. Step 3: Cross multiply
    30,205.88x = 45,305.30 × 8,020.98
  4. Step 4: Simplify right side
    30,205.88x = 363,392,905.19
  5. Step 5: Solve for x
    x = 363,392,905.19/30,205.88
  6. Step 6: Final answer
    x = 12,030.54

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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.