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Finding the Fourth Proportional to 281,484.90, 422,255.07 and 81,807.03

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Solution

The fourth proportional to 281,484.90, 422,255.07 and 81,807.03 is: 122,718.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,484.90 : 422,255.07 = 81,807.03 : x
  2. Step 2: Convert to fraction form
    281,484.90/422,255.07 = 81,807.03/x
  3. Step 3: Cross multiply
    281,484.90x = 422,255.07 × 81,807.03
  4. Step 4: Simplify right side
    281,484.90x = 34,543,433,179.14
  5. Step 5: Solve for x
    x = 34,543,433,179.14/281,484.90
  6. Step 6: Final answer
    x = 122,718.60

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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.