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Finding the Fourth Proportional to 100,305.76, 138,372.96 and 84,384.40

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Solution

The fourth proportional to 100,305.76, 138,372.96 and 84,384.40 is: 116,409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,305.76 : 138,372.96 = 84,384.40 : x
  2. Step 2: Convert to fraction form
    100,305.76/138,372.96 = 84,384.40/x
  3. Step 3: Cross multiply
    100,305.76x = 138,372.96 × 84,384.40
  4. Step 4: Simplify right side
    100,305.76x = 11,676,519,205.82
  5. Step 5: Solve for x
    x = 11,676,519,205.82/100,305.76
  6. Step 6: Final answer
    x = 116,409.26

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