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Finding the Fourth Proportional to 281,878.60, 422,838.66 and 122,109.54

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Solution

The fourth proportional to 281,878.60, 422,838.66 and 122,109.54 is: 183,173.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,878.60 : 422,838.66 = 122,109.54 : x
  2. Step 2: Convert to fraction form
    281,878.60/422,838.66 = 122,109.54/x
  3. Step 3: Cross multiply
    281,878.60x = 422,838.66 × 122,109.54
  4. Step 4: Simplify right side
    281,878.60x = 51,632,634,266.82
  5. Step 5: Solve for x
    x = 51,632,634,266.82/281,878.60
  6. Step 6: Final answer
    x = 183,173.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.