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Finding the Fourth Proportional to 281,643.36, 422,484.48 and 81,965.40

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Solution

The fourth proportional to 281,643.36, 422,484.48 and 81,965.40 is: 122,953.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,643.36 : 422,484.48 = 81,965.40 : x
  2. Step 2: Convert to fraction form
    281,643.36/422,484.48 = 81,965.40/x
  3. Step 3: Cross multiply
    281,643.36x = 422,484.48 × 81,965.40
  4. Step 4: Simplify right side
    281,643.36x = 34,629,109,396.99
  5. Step 5: Solve for x
    x = 34,629,109,396.99/281,643.36
  6. Step 6: Final answer
    x = 122,953.76

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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.