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Finding the Fourth Proportional to 109,218.66, 163,829.07 and 30,333.30

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Solution

The fourth proportional to 109,218.66, 163,829.07 and 30,333.30 is: 45,500.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,218.66 : 163,829.07 = 30,333.30 : x
  2. Step 2: Convert to fraction form
    109,218.66/163,829.07 = 30,333.30/x
  3. Step 3: Cross multiply
    109,218.66x = 163,829.07 × 30,333.30
  4. Step 4: Simplify right side
    109,218.66x = 4,969,476,329.03
  5. Step 5: Solve for x
    x = 4,969,476,329.03/109,218.66
  6. Step 6: Final answer
    x = 45,500.25

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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.