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Finding the Fourth Proportional to 203,078.54, 304,401.81 and 76,665.08

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Solution

The fourth proportional to 203,078.54, 304,401.81 and 76,665.08 is: 114,916.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,078.54 : 304,401.81 = 76,665.08 : x
  2. Step 2: Convert to fraction form
    203,078.54/304,401.81 = 76,665.08/x
  3. Step 3: Cross multiply
    203,078.54x = 304,401.81 × 76,665.08
  4. Step 4: Simplify right side
    203,078.54x = 23,336,989,115.79
  5. Step 5: Solve for x
    x = 23,336,989,115.79/203,078.54
  6. Step 6: Final answer
    x = 114,916.08

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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.