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Finding the Fourth Proportional to 281,224.41, 421,880.60 and 91,640.77

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Solution

The fourth proportional to 281,224.41, 421,880.60 and 91,640.77 is: 137,475.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,224.41 : 421,880.60 = 91,640.77 : x
  2. Step 2: Convert to fraction form
    281,224.41/421,880.60 = 91,640.77/x
  3. Step 3: Cross multiply
    281,224.41x = 421,880.60 × 91,640.77
  4. Step 4: Simplify right side
    281,224.41x = 38,661,462,206.46
  5. Step 5: Solve for x
    x = 38,661,462,206.46/281,224.41
  6. Step 6: Final answer
    x = 137,475.49

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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.