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Finding the Fourth Proportional to 100,277.28, 138,380.76 and 54,954

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Solution

The fourth proportional to 100,277.28, 138,380.76 and 54,954 is: 75,835.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,277.28 : 138,380.76 = 54,954 : x
  2. Step 2: Convert to fraction form
    100,277.28/138,380.76 = 54,954/x
  3. Step 3: Cross multiply
    100,277.28x = 138,380.76 × 54,954
  4. Step 4: Simplify right side
    100,277.28x = 7,604,576,285.04
  5. Step 5: Solve for x
    x = 7,604,576,285.04/100,277.28
  6. Step 6: Final answer
    x = 75,835.49

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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.