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Finding the Fourth Proportional to 100,224, 138,313.44 and 55,512

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Solution

The fourth proportional to 100,224, 138,313.44 and 55,512 is: 76,608.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,224 : 138,313.44 = 55,512 : x
  2. Step 2: Convert to fraction form
    100,224/138,313.44 = 55,512/x
  3. Step 3: Cross multiply
    100,224x = 138,313.44 × 55,512
  4. Step 4: Simplify right side
    100,224x = 7,678,055,681.28
  5. Step 5: Solve for x
    x = 7,678,055,681.28/100,224
  6. Step 6: Final answer
    x = 76,608.95

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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.