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Finding the Fourth Proportional to 281,290.30, 421,847.36 and 81,624.48

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Solution

The fourth proportional to 281,290.30, 421,847.36 and 81,624.48 is: 122,411.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,290.30 : 421,847.36 = 81,624.48 : x
  2. Step 2: Convert to fraction form
    281,290.30/421,847.36 = 81,624.48/x
  3. Step 3: Cross multiply
    281,290.30x = 421,847.36 × 81,624.48
  4. Step 4: Simplify right side
    281,290.30x = 34,433,071,399.37
  5. Step 5: Solve for x
    x = 34,433,071,399.37/281,290.30
  6. Step 6: Final answer
    x = 122,411.16

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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.