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Finding the Fourth Proportional to 281,367.67, 421,920.14 and 101,429.39

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Solution

The fourth proportional to 281,367.67, 421,920.14 and 101,429.39 is: 152,096.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,367.67 : 421,920.14 = 101,429.39 : x
  2. Step 2: Convert to fraction form
    281,367.67/421,920.14 = 101,429.39/x
  3. Step 3: Cross multiply
    281,367.67x = 421,920.14 × 101,429.39
  4. Step 4: Simplify right side
    281,367.67x = 42,795,101,921.77
  5. Step 5: Solve for x
    x = 42,795,101,921.77/281,367.67
  6. Step 6: Final answer
    x = 152,096.73

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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.