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Finding the Fourth Proportional to 100,780, 151,173.28 and 30,660

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Solution

The fourth proportional to 100,780, 151,173.28 and 30,660 is: 45,991.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,780 : 151,173.28 = 30,660 : x
  2. Step 2: Convert to fraction form
    100,780/151,173.28 = 30,660/x
  3. Step 3: Cross multiply
    100,780x = 151,173.28 × 30,660
  4. Step 4: Simplify right side
    100,780x = 4,634,972,764.80
  5. Step 5: Solve for x
    x = 4,634,972,764.80/100,780
  6. Step 6: Final answer
    x = 45,991.00

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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.