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Finding the Fourth Proportional to 281,114.25, 421,715.22 and 91,529.85

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Solution

The fourth proportional to 281,114.25, 421,715.22 and 91,529.85 is: 137,309.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,114.25 : 421,715.22 = 91,529.85 : x
  2. Step 2: Convert to fraction form
    281,114.25/421,715.22 = 91,529.85/x
  3. Step 3: Cross multiply
    281,114.25x = 421,715.22 × 91,529.85
  4. Step 4: Simplify right side
    281,114.25x = 38,599,530,829.32
  5. Step 5: Solve for x
    x = 38,599,530,829.32/281,114.25
  6. Step 6: Final answer
    x = 137,309.05

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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.