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Finding the Fourth Proportional to 205,707.30, 308,583.09 and 65,433.12

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Solution

The fourth proportional to 205,707.30, 308,583.09 and 65,433.12 is: 98,156.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,707.30 : 308,583.09 = 65,433.12 : x
  2. Step 2: Convert to fraction form
    205,707.30/308,583.09 = 65,433.12/x
  3. Step 3: Cross multiply
    205,707.30x = 308,583.09 × 65,433.12
  4. Step 4: Simplify right side
    205,707.30x = 20,191,554,357.94
  5. Step 5: Solve for x
    x = 20,191,554,357.94/205,707.30
  6. Step 6: Final answer
    x = 98,156.72

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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.