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Finding the Fourth Proportional to 20,129.78, 30,199.88 and 7,650.02

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Solution

The fourth proportional to 20,129.78, 30,199.88 and 7,650.02 is: 11,477.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,129.78 : 30,199.88 = 7,650.02 : x
  2. Step 2: Convert to fraction form
    20,129.78/30,199.88 = 7,650.02/x
  3. Step 3: Cross multiply
    20,129.78x = 30,199.88 × 7,650.02
  4. Step 4: Simplify right side
    20,129.78x = 231,029,554.12
  5. Step 5: Solve for x
    x = 231,029,554.12/20,129.78
  6. Step 6: Final answer
    x = 11,477.01

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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.