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Finding the Fourth Proportional to 217,875.66, 326,739.99 and 82,907.69

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Solution

The fourth proportional to 217,875.66, 326,739.99 and 82,907.69 is: 124,333.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,875.66 : 326,739.99 = 82,907.69 : x
  2. Step 2: Convert to fraction form
    217,875.66/326,739.99 = 82,907.69/x
  3. Step 3: Cross multiply
    217,875.66x = 326,739.99 × 82,907.69
  4. Step 4: Simplify right side
    217,875.66x = 27,089,256,478.73
  5. Step 5: Solve for x
    x = 27,089,256,478.73/217,875.66
  6. Step 6: Final answer
    x = 124,333.56

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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.