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Finding the Fourth Proportional to 109,388.70, 164,062.80 and 30,486.60

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Solution

The fourth proportional to 109,388.70, 164,062.80 and 30,486.60 is: 45,724.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,388.70 : 164,062.80 = 30,486.60 : x
  2. Step 2: Convert to fraction form
    109,388.70/164,062.80 = 30,486.60/x
  3. Step 3: Cross multiply
    109,388.70x = 164,062.80 × 30,486.60
  4. Step 4: Simplify right side
    109,388.70x = 5,001,716,958.48
  5. Step 5: Solve for x
    x = 5,001,716,958.48/109,388.70
  6. Step 6: Final answer
    x = 45,724.26

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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.