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Finding the Fourth Proportional to 109,394.28, 164,100.42 and 30,509.28

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Solution

The fourth proportional to 109,394.28, 164,100.42 and 30,509.28 is: 45,766.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,394.28 : 164,100.42 = 30,509.28 : x
  2. Step 2: Convert to fraction form
    109,394.28/164,100.42 = 30,509.28/x
  3. Step 3: Cross multiply
    109,394.28x = 164,100.42 × 30,509.28
  4. Step 4: Simplify right side
    109,394.28x = 5,006,585,661.90
  5. Step 5: Solve for x
    x = 5,006,585,661.90/109,394.28
  6. Step 6: Final answer
    x = 45,766.43

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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.