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Finding the Fourth Proportional to 281,171.34, 421,761.87 and 103,586.94

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Solution

The fourth proportional to 281,171.34, 421,761.87 and 103,586.94 is: 155,382.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,171.34 : 421,761.87 = 103,586.94 : x
  2. Step 2: Convert to fraction form
    281,171.34/421,761.87 = 103,586.94/x
  3. Step 3: Cross multiply
    281,171.34x = 421,761.87 × 103,586.94
  4. Step 4: Simplify right side
    281,171.34x = 43,689,021,521.98
  5. Step 5: Solve for x
    x = 43,689,021,521.98/281,171.34
  6. Step 6: Final answer
    x = 155,382.20

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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.