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Finding the Fourth Proportional to 109,305.99, 163,964.79 and 34,431.95

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Solution

The fourth proportional to 109,305.99, 163,964.79 and 34,431.95 is: 51,649.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,305.99 : 163,964.79 = 34,431.95 : x
  2. Step 2: Convert to fraction form
    109,305.99/163,964.79 = 34,431.95/x
  3. Step 3: Cross multiply
    109,305.99x = 163,964.79 × 34,431.95
  4. Step 4: Simplify right side
    109,305.99x = 5,645,627,860.95
  5. Step 5: Solve for x
    x = 5,645,627,860.95/109,305.99
  6. Step 6: Final answer
    x = 51,649.76

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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.