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Finding the Fourth Proportional to 100,647.69, 150,961.80 and 30,527.61

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Solution

The fourth proportional to 100,647.69, 150,961.80 and 30,527.61 is: 45,788.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,647.69 : 150,961.80 = 30,527.61 : x
  2. Step 2: Convert to fraction form
    100,647.69/150,961.80 = 30,527.61/x
  3. Step 3: Cross multiply
    100,647.69x = 150,961.80 × 30,527.61
  4. Step 4: Simplify right side
    100,647.69x = 4,608,502,955.30
  5. Step 5: Solve for x
    x = 4,608,502,955.30/100,647.69
  6. Step 6: Final answer
    x = 45,788.46

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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.