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Finding the Fourth Proportional to 205,676.91, 308,509.61 and 65,443.95

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Solution

The fourth proportional to 205,676.91, 308,509.61 and 65,443.95 is: 98,164.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,676.91 : 308,509.61 = 65,443.95 : x
  2. Step 2: Convert to fraction form
    205,676.91/308,509.61 = 65,443.95/x
  3. Step 3: Cross multiply
    205,676.91x = 308,509.61 × 65,443.95
  4. Step 4: Simplify right side
    205,676.91x = 20,190,087,164.14
  5. Step 5: Solve for x
    x = 20,190,087,164.14/205,676.91
  6. Step 6: Final answer
    x = 98,164.09

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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.