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Finding the Fourth Proportional to 205,908.24, 308,796.60 and 65,634

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Solution

The fourth proportional to 205,908.24, 308,796.60 and 65,634 is: 98,430.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,908.24 : 308,796.60 = 65,634 : x
  2. Step 2: Convert to fraction form
    205,908.24/308,796.60 = 65,634/x
  3. Step 3: Cross multiply
    205,908.24x = 308,796.60 × 65,634
  4. Step 4: Simplify right side
    205,908.24x = 20,267,556,044.40
  5. Step 5: Solve for x
    x = 20,267,556,044.40/205,908.24
  6. Step 6: Final answer
    x = 98,430.04

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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.