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Finding the Fourth Proportional to 76,370, 114,557.16 and 20,966

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Solution

The fourth proportional to 76,370, 114,557.16 and 20,966 is: 31,449.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,370 : 114,557.16 = 20,966 : x
  2. Step 2: Convert to fraction form
    76,370/114,557.16 = 20,966/x
  3. Step 3: Cross multiply
    76,370x = 114,557.16 × 20,966
  4. Step 4: Simplify right side
    76,370x = 2,401,805,416.56
  5. Step 5: Solve for x
    x = 2,401,805,416.56/76,370
  6. Step 6: Final answer
    x = 31,449.59

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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.