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Finding the Fourth Proportional to 207,790.40, 311,570.40 and 89,441.60

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Solution

The fourth proportional to 207,790.40, 311,570.40 and 89,441.60 is: 134,112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,790.40 : 311,570.40 = 89,441.60 : x
  2. Step 2: Convert to fraction form
    207,790.40/311,570.40 = 89,441.60/x
  3. Step 3: Cross multiply
    207,790.40x = 311,570.40 × 89,441.60
  4. Step 4: Simplify right side
    207,790.40x = 27,867,355,088.64
  5. Step 5: Solve for x
    x = 27,867,355,088.64/207,790.40
  6. Step 6: Final answer
    x = 134,112.81

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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.