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Finding the Fourth Proportional to 76,394, 114,597.48 and 20,990

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Solution

The fourth proportional to 76,394, 114,597.48 and 20,990 is: 31,486.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,394 : 114,597.48 = 20,990 : x
  2. Step 2: Convert to fraction form
    76,394/114,597.48 = 20,990/x
  3. Step 3: Cross multiply
    76,394x = 114,597.48 × 20,990
  4. Step 4: Simplify right side
    76,394x = 2,405,401,105.20
  5. Step 5: Solve for x
    x = 2,405,401,105.20/76,394
  6. Step 6: Final answer
    x = 31,486.78

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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.