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Finding the Fourth Proportional to 20,160, 30,246.11 and 8,145.99

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Solution

The fourth proportional to 20,160, 30,246.11 and 8,145.99 is: 12,221.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,160 : 30,246.11 = 8,145.99 : x
  2. Step 2: Convert to fraction form
    20,160/30,246.11 = 8,145.99/x
  3. Step 3: Cross multiply
    20,160x = 30,246.11 × 8,145.99
  4. Step 4: Simplify right side
    20,160x = 246,384,509.60
  5. Step 5: Solve for x
    x = 246,384,509.60/20,160
  6. Step 6: Final answer
    x = 12,221.45

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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.