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Finding the Fourth Proportional to 281,120.75, 421,680.78 and 91,580.81

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Solution

The fourth proportional to 281,120.75, 421,680.78 and 91,580.81 is: 137,371.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,120.75 : 421,680.78 = 91,580.81 : x
  2. Step 2: Convert to fraction form
    281,120.75/421,680.78 = 91,580.81/x
  3. Step 3: Cross multiply
    281,120.75x = 421,680.78 × 91,580.81
  4. Step 4: Simplify right side
    281,120.75x = 38,617,867,393.83
  5. Step 5: Solve for x
    x = 38,617,867,393.83/281,120.75
  6. Step 6: Final answer
    x = 137,371.10

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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.