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Finding the Fourth Proportional to 281,562.40, 421,754.80 and 131,930.40

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Solution

The fourth proportional to 281,562.40, 421,754.80 and 131,930.40 is: 197,619.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,562.40 : 421,754.80 = 131,930.40 : x
  2. Step 2: Convert to fraction form
    281,562.40/421,754.80 = 131,930.40/x
  3. Step 3: Cross multiply
    281,562.40x = 421,754.80 × 131,930.40
  4. Step 4: Simplify right side
    281,562.40x = 55,642,279,465.92
  5. Step 5: Solve for x
    x = 55,642,279,465.92/281,562.40
  6. Step 6: Final answer
    x = 197,619.71

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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.