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Finding the Fourth Proportional to 281,234.69, 421,765.11 and 81,569.75

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Solution

The fourth proportional to 281,234.69, 421,765.11 and 81,569.75 is: 122,329.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,234.69 : 421,765.11 = 81,569.75 : x
  2. Step 2: Convert to fraction form
    281,234.69/421,765.11 = 81,569.75/x
  3. Step 3: Cross multiply
    281,234.69x = 421,765.11 × 81,569.75
  4. Step 4: Simplify right side
    281,234.69x = 34,403,274,581.42
  5. Step 5: Solve for x
    x = 34,403,274,581.42/281,234.69
  6. Step 6: Final answer
    x = 122,329.41

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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.