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Finding the Fourth Proportional to 199,978.59, 275,975.67 and 109,338.38

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Solution

The fourth proportional to 199,978.59, 275,975.67 and 109,338.38 is: 150,889.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,978.59 : 275,975.67 = 109,338.38 : x
  2. Step 2: Convert to fraction form
    199,978.59/275,975.67 = 109,338.38/x
  3. Step 3: Cross multiply
    199,978.59x = 275,975.67 × 109,338.38
  4. Step 4: Simplify right side
    199,978.59x = 30,174,732,677.21
  5. Step 5: Solve for x
    x = 30,174,732,677.21/199,978.59
  6. Step 6: Final answer
    x = 150,889.82

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1.5x scale

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.