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Finding the Fourth Proportional to 204,783.45, 307,313.57 and 71,664.87

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Solution

The fourth proportional to 204,783.45, 307,313.57 and 71,664.87 is: 107,545.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,783.45 : 307,313.57 = 71,664.87 : x
  2. Step 2: Convert to fraction form
    204,783.45/307,313.57 = 71,664.87/x
  3. Step 3: Cross multiply
    204,783.45x = 307,313.57 × 71,664.87
  4. Step 4: Simplify right side
    204,783.45x = 22,023,587,043.29
  5. Step 5: Solve for x
    x = 22,023,587,043.29/204,783.45
  6. Step 6: Final answer
    x = 107,545.74

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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.