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Finding the Fourth Proportional to 205,771.30, 308,712.41 and 85,788.37

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Solution

The fourth proportional to 205,771.30, 308,712.41 and 85,788.37 is: 128,705.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,771.30 : 308,712.41 = 85,788.37 : x
  2. Step 2: Convert to fraction form
    205,771.30/308,712.41 = 85,788.37/x
  3. Step 3: Cross multiply
    205,771.30x = 308,712.41 × 85,788.37
  4. Step 4: Simplify right side
    205,771.30x = 26,483,932,480.17
  5. Step 5: Solve for x
    x = 26,483,932,480.17/205,771.30
  6. Step 6: Final answer
    x = 128,705.67

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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.