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Finding the Fourth Proportional to 205,859.60, 308,789.40 and 65,632.40

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Solution

The fourth proportional to 205,859.60, 308,789.40 and 65,632.40 is: 98,448.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,859.60 : 308,789.40 = 65,632.40 : x
  2. Step 2: Convert to fraction form
    205,859.60/308,789.40 = 65,632.40/x
  3. Step 3: Cross multiply
    205,859.60x = 308,789.40 × 65,632.40
  4. Step 4: Simplify right side
    205,859.60x = 20,266,589,416.56
  5. Step 5: Solve for x
    x = 20,266,589,416.56/205,859.60
  6. Step 6: Final answer
    x = 98,448.60

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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.