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Finding the Fourth Proportional to 100,455, 138,634.38 and 55,743

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Solution

The fourth proportional to 100,455, 138,634.38 and 55,743 is: 76,928.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,455 : 138,634.38 = 55,743 : x
  2. Step 2: Convert to fraction form
    100,455/138,634.38 = 55,743/x
  3. Step 3: Cross multiply
    100,455x = 138,634.38 × 55,743
  4. Step 4: Simplify right side
    100,455x = 7,727,896,244.34
  5. Step 5: Solve for x
    x = 7,727,896,244.34/100,455
  6. Step 6: Final answer
    x = 76,928.94

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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.