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Finding the Fourth Proportional to 18,200.10, 25,115.07 and 10,242

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Solution

The fourth proportional to 18,200.10, 25,115.07 and 10,242 is: 14,133.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,200.10 : 25,115.07 = 10,242 : x
  2. Step 2: Convert to fraction form
    18,200.10/25,115.07 = 10,242/x
  3. Step 3: Cross multiply
    18,200.10x = 25,115.07 × 10,242
  4. Step 4: Simplify right side
    18,200.10x = 257,228,546.94
  5. Step 5: Solve for x
    x = 257,228,546.94/18,200.10
  6. Step 6: Final answer
    x = 14,133.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.