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Finding the Fourth Proportional to 281,202.20, 421,803.30 and 81,529.10

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Solution

The fourth proportional to 281,202.20, 421,803.30 and 81,529.10 is: 122,293.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,202.20 : 421,803.30 = 81,529.10 : x
  2. Step 2: Convert to fraction form
    281,202.20/421,803.30 = 81,529.10/x
  3. Step 3: Cross multiply
    281,202.20x = 421,803.30 × 81,529.10
  4. Step 4: Simplify right side
    281,202.20x = 34,389,243,426.03
  5. Step 5: Solve for x
    x = 34,389,243,426.03/281,202.20
  6. Step 6: Final answer
    x = 122,293.65

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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.