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Finding the Fourth Proportional to 281,208.96, 421,782.24 and 70,846.88

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Solution

The fourth proportional to 281,208.96, 421,782.24 and 70,846.88 is: 106,262.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,208.96 : 421,782.24 = 70,846.88 : x
  2. Step 2: Convert to fraction form
    281,208.96/421,782.24 = 70,846.88/x
  3. Step 3: Cross multiply
    281,208.96x = 421,782.24 × 70,846.88
  4. Step 4: Simplify right side
    281,208.96x = 29,881,955,743.41
  5. Step 5: Solve for x
    x = 29,881,955,743.41/281,208.96
  6. Step 6: Final answer
    x = 106,262.46

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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.