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Finding the Fourth Proportional to 30,201.13, 45,303.92 and 8,014.02

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Solution

The fourth proportional to 30,201.13, 45,303.92 and 8,014.02 is: 12,021.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,201.13 : 45,303.92 = 8,014.02 : x
  2. Step 2: Convert to fraction form
    30,201.13/45,303.92 = 8,014.02/x
  3. Step 3: Cross multiply
    30,201.13x = 45,303.92 × 8,014.02
  4. Step 4: Simplify right side
    30,201.13x = 363,066,520.96
  5. Step 5: Solve for x
    x = 363,066,520.96/30,201.13
  6. Step 6: Final answer
    x = 12,021.62

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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.