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Finding the Fourth Proportional to 281,369.67, 421,923.14 and 101,431.39

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Solution

The fourth proportional to 281,369.67, 421,923.14 and 101,431.39 is: 152,099.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,369.67 : 421,923.14 = 101,431.39 : x
  2. Step 2: Convert to fraction form
    281,369.67/421,923.14 = 101,431.39/x
  3. Step 3: Cross multiply
    281,369.67x = 421,923.14 × 101,431.39
  4. Step 4: Simplify right side
    281,369.67x = 42,796,250,056.21
  5. Step 5: Solve for x
    x = 42,796,250,056.21/281,369.67
  6. Step 6: Final answer
    x = 152,099.73

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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.