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Finding the Fourth Proportional to 205,103.78, 307,616.70 and 86,858.12

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Solution

The fourth proportional to 205,103.78, 307,616.70 and 86,858.12 is: 130,270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,103.78 : 307,616.70 = 86,858.12 : x
  2. Step 2: Convert to fraction form
    205,103.78/307,616.70 = 86,858.12/x
  3. Step 3: Cross multiply
    205,103.78x = 307,616.70 × 86,858.12
  4. Step 4: Simplify right side
    205,103.78x = 26,719,008,242.60
  5. Step 5: Solve for x
    x = 26,719,008,242.60/205,103.78
  6. Step 6: Final answer
    x = 130,270.68

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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.