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Finding the Fourth Proportional to 204,021, 306,048.78 and 56,277

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Solution

The fourth proportional to 204,021, 306,048.78 and 56,277 is: 84,420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,021 : 306,048.78 = 56,277 : x
  2. Step 2: Convert to fraction form
    204,021/306,048.78 = 56,277/x
  3. Step 3: Cross multiply
    204,021x = 306,048.78 × 56,277
  4. Step 4: Simplify right side
    204,021x = 17,223,507,192.06
  5. Step 5: Solve for x
    x = 17,223,507,192.06/204,021
  6. Step 6: Final answer
    x = 84,420.27

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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.