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Finding the Fourth Proportional to 30,857.20, 46,168.80 and 20,489.20

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Solution

The fourth proportional to 30,857.20, 46,168.80 and 20,489.20 is: 30,656.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,857.20 : 46,168.80 = 20,489.20 : x
  2. Step 2: Convert to fraction form
    30,857.20/46,168.80 = 20,489.20/x
  3. Step 3: Cross multiply
    30,857.20x = 46,168.80 × 20,489.20
  4. Step 4: Simplify right side
    30,857.20x = 945,961,776.96
  5. Step 5: Solve for x
    x = 945,961,776.96/30,857.20
  6. Step 6: Final answer
    x = 30,656.11

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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.