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Finding the Fourth Proportional to 199,412, 275,178.84 and 118,837.68

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Solution

The fourth proportional to 199,412, 275,178.84 and 118,837.68 is: 163,990.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,412 : 275,178.84 = 118,837.68 : x
  2. Step 2: Convert to fraction form
    199,412/275,178.84 = 118,837.68/x
  3. Step 3: Cross multiply
    199,412x = 275,178.84 × 118,837.68
  4. Step 4: Simplify right side
    199,412x = 32,701,614,930.69
  5. Step 5: Solve for x
    x = 32,701,614,930.69/199,412
  6. Step 6: Final answer
    x = 163,990.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.