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Finding the Fourth Proportional to 199,889.39, 301,182.70 and 165,129.41

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Solution

The fourth proportional to 199,889.39, 301,182.70 and 165,129.41 is: 248,808.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,889.39 : 301,182.70 = 165,129.41 : x
  2. Step 2: Convert to fraction form
    199,889.39/301,182.70 = 165,129.41/x
  3. Step 3: Cross multiply
    199,889.39x = 301,182.70 × 165,129.41
  4. Step 4: Simplify right side
    199,889.39x = 49,734,122,667.38
  5. Step 5: Solve for x
    x = 49,734,122,667.38/199,889.39
  6. Step 6: Final answer
    x = 248,808.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.