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Finding the Fourth Proportional to 205,021, 307,583.36 and 57,277

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Solution

The fourth proportional to 205,021, 307,583.36 and 57,277 is: 85,929.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,021 : 307,583.36 = 57,277 : x
  2. Step 2: Convert to fraction form
    205,021/307,583.36 = 57,277/x
  3. Step 3: Cross multiply
    205,021x = 307,583.36 × 57,277
  4. Step 4: Simplify right side
    205,021x = 17,617,452,110.72
  5. Step 5: Solve for x
    x = 17,617,452,110.72/205,021
  6. Step 6: Final answer
    x = 85,929.99

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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.