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Finding the Fourth Proportional to 205,992.72, 308,922.12 and 65,718

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Solution

The fourth proportional to 205,992.72, 308,922.12 and 65,718 is: 98,555.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,992.72 : 308,922.12 = 65,718 : x
  2. Step 2: Convert to fraction form
    205,992.72/308,922.12 = 65,718/x
  3. Step 3: Cross multiply
    205,992.72x = 308,922.12 × 65,718
  4. Step 4: Simplify right side
    205,992.72x = 20,301,743,882.16
  5. Step 5: Solve for x
    x = 20,301,743,882.16/205,992.72
  6. Step 6: Final answer
    x = 98,555.64

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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.