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Finding the Fourth Proportional to 207,809.55, 311,584.32 and 87,804.41

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Solution

The fourth proportional to 207,809.55, 311,584.32 and 87,804.41 is: 131,651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,809.55 : 311,584.32 = 87,804.41 : x
  2. Step 2: Convert to fraction form
    207,809.55/311,584.32 = 87,804.41/x
  3. Step 3: Cross multiply
    207,809.55x = 311,584.32 × 87,804.41
  4. Step 4: Simplify right side
    207,809.55x = 27,358,475,824.93
  5. Step 5: Solve for x
    x = 27,358,475,824.93/207,809.55
  6. Step 6: Final answer
    x = 131,651.68

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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.