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Finding the Fourth Proportional to 281,108.16, 421,662.27 and 81,428.64

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Solution

The fourth proportional to 281,108.16, 421,662.27 and 81,428.64 is: 122,142.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,108.16 : 421,662.27 = 81,428.64 : x
  2. Step 2: Convert to fraction form
    281,108.16/421,662.27 = 81,428.64/x
  3. Step 3: Cross multiply
    281,108.16x = 421,662.27 × 81,428.64
  4. Step 4: Simplify right side
    281,108.16x = 34,335,385,185.41
  5. Step 5: Solve for x
    x = 34,335,385,185.41/281,108.16
  6. Step 6: Final answer
    x = 122,142.97

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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.