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Finding the Fourth Proportional to 281,722.74, 422,599.50 and 71,362.50

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Solution

The fourth proportional to 281,722.74, 422,599.50 and 71,362.50 is: 107,047.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,722.74 : 422,599.50 = 71,362.50 : x
  2. Step 2: Convert to fraction form
    281,722.74/422,599.50 = 71,362.50/x
  3. Step 3: Cross multiply
    281,722.74x = 422,599.50 × 71,362.50
  4. Step 4: Simplify right side
    281,722.74x = 30,157,756,818.75
  5. Step 5: Solve for x
    x = 30,157,756,818.75/281,722.74
  6. Step 6: Final answer
    x = 107,047.65

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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.