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Finding the Fourth Proportional to 205,758.63, 308,637.95 and 65,517.26

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Solution

The fourth proportional to 205,758.63, 308,637.95 and 65,517.26 is: 98,275.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,758.63 : 308,637.95 = 65,517.26 : x
  2. Step 2: Convert to fraction form
    205,758.63/308,637.95 = 65,517.26/x
  3. Step 3: Cross multiply
    205,758.63x = 308,637.95 × 65,517.26
  4. Step 4: Simplify right side
    205,758.63x = 20,221,110,945.24
  5. Step 5: Solve for x
    x = 20,221,110,945.24/205,758.63
  6. Step 6: Final answer
    x = 98,275.88

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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.