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Finding the Fourth Proportional to 100,258.40, 138,356.62 and 54,936.01

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Solution

The fourth proportional to 100,258.40, 138,356.62 and 54,936.01 is: 75,811.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,258.40 : 138,356.62 = 54,936.01 : x
  2. Step 2: Convert to fraction form
    100,258.40/138,356.62 = 54,936.01/x
  3. Step 3: Cross multiply
    100,258.40x = 138,356.62 × 54,936.01
  4. Step 4: Simplify right side
    100,258.40x = 7,600,760,659.89
  5. Step 5: Solve for x
    x = 7,600,760,659.89/100,258.40
  6. Step 6: Final answer
    x = 75,811.71

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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.