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Finding the Fourth Proportional to 34,992, 48,288.96 and 20,090.88

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Solution

The fourth proportional to 34,992, 48,288.96 and 20,090.88 is: 27,725.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,992 : 48,288.96 = 20,090.88 : x
  2. Step 2: Convert to fraction form
    34,992/48,288.96 = 20,090.88/x
  3. Step 3: Cross multiply
    34,992x = 48,288.96 × 20,090.88
  4. Step 4: Simplify right side
    34,992x = 970,167,700.68
  5. Step 5: Solve for x
    x = 970,167,700.68/34,992
  6. Step 6: Final answer
    x = 27,725.41

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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.