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Finding the Fourth Proportional to 207,583.60, 311,260.20 and 82,783.60

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Solution

The fourth proportional to 207,583.60, 311,260.20 and 82,783.60 is: 124,129.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,583.60 : 311,260.20 = 82,783.60 : x
  2. Step 2: Convert to fraction form
    207,583.60/311,260.20 = 82,783.60/x
  3. Step 3: Cross multiply
    207,583.60x = 311,260.20 × 82,783.60
  4. Step 4: Simplify right side
    207,583.60x = 25,767,239,892.72
  5. Step 5: Solve for x
    x = 25,767,239,892.72/207,583.60
  6. Step 6: Final answer
    x = 124,129.46

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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.