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Finding the Fourth Proportional to 205,189.71, 308,325.78 and 110,489.91

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Solution

The fourth proportional to 205,189.71, 308,325.78 and 110,489.91 is: 166,026.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,189.71 : 308,325.78 = 110,489.91 : x
  2. Step 2: Convert to fraction form
    205,189.71/308,325.78 = 110,489.91/x
  3. Step 3: Cross multiply
    205,189.71x = 308,325.78 × 110,489.91
  4. Step 4: Simplify right side
    205,189.71x = 34,066,887,682.88
  5. Step 5: Solve for x
    x = 34,066,887,682.88/205,189.71
  6. Step 6: Final answer
    x = 166,026.30

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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.