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Finding the Fourth Proportional to 75,978, 113,970.24 and 20,574

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Solution

The fourth proportional to 75,978, 113,970.24 and 20,574 is: 30,861.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,978 : 113,970.24 = 20,574 : x
  2. Step 2: Convert to fraction form
    75,978/113,970.24 = 20,574/x
  3. Step 3: Cross multiply
    75,978x = 113,970.24 × 20,574
  4. Step 4: Simplify right side
    75,978x = 2,344,823,717.76
  5. Step 5: Solve for x
    x = 2,344,823,717.76/75,978
  6. Step 6: Final answer
    x = 30,861.88

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