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Finding the Fourth Proportional to 100,185.62, 138,258.73 and 54,866.10

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Solution

The fourth proportional to 100,185.62, 138,258.73 and 54,866.10 is: 75,716.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,185.62 : 138,258.73 = 54,866.10 : x
  2. Step 2: Convert to fraction form
    100,185.62/138,258.73 = 54,866.10/x
  3. Step 3: Cross multiply
    100,185.62x = 138,258.73 × 54,866.10
  4. Step 4: Simplify right side
    100,185.62x = 7,585,717,306.05
  5. Step 5: Solve for x
    x = 7,585,717,306.05/100,185.62
  6. Step 6: Final answer
    x = 75,716.63

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1.5x scale

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.