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Finding the Fourth Proportional to 204,783.81, 307,314.08 and 71,665.20

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Solution

The fourth proportional to 204,783.81, 307,314.08 and 71,665.20 is: 107,546.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,783.81 : 307,314.08 = 71,665.20 : x
  2. Step 2: Convert to fraction form
    204,783.81/307,314.08 = 71,665.20/x
  3. Step 3: Cross multiply
    204,783.81x = 307,314.08 × 71,665.20
  4. Step 4: Simplify right side
    204,783.81x = 22,023,724,647.69
  5. Step 5: Solve for x
    x = 22,023,724,647.69/204,783.81
  6. Step 6: Final answer
    x = 107,546.22

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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.