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Finding the Fourth Proportional to 281,668.72, 422,530.80 and 81,991.12

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Solution

The fourth proportional to 281,668.72, 422,530.80 and 81,991.12 is: 122,994.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,668.72 : 422,530.80 = 81,991.12 : x
  2. Step 2: Convert to fraction form
    281,668.72/422,530.80 = 81,991.12/x
  3. Step 3: Cross multiply
    281,668.72x = 422,530.80 × 81,991.12
  4. Step 4: Simplify right side
    281,668.72x = 34,643,773,526.50
  5. Step 5: Solve for x
    x = 34,643,773,526.50/281,668.72
  6. Step 6: Final answer
    x = 122,994.75

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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.