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Finding the Fourth Proportional to 100,782.51, 151,195.64 and 30,660

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Solution

The fourth proportional to 100,782.51, 151,195.64 and 30,660 is: 45,996.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,782.51 : 151,195.64 = 30,660 : x
  2. Step 2: Convert to fraction form
    100,782.51/151,195.64 = 30,660/x
  3. Step 3: Cross multiply
    100,782.51x = 151,195.64 × 30,660
  4. Step 4: Simplify right side
    100,782.51x = 4,635,658,169.10
  5. Step 5: Solve for x
    x = 4,635,658,169.10/100,782.51
  6. Step 6: Final answer
    x = 45,996.65

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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.