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Finding the Fourth Proportional to 200,778.93, 277,098.08 and 120,206.39

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Solution

The fourth proportional to 200,778.93, 277,098.08 and 120,206.39 is: 165,898.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,778.93 : 277,098.08 = 120,206.39 : x
  2. Step 2: Convert to fraction form
    200,778.93/277,098.08 = 120,206.39/x
  3. Step 3: Cross multiply
    200,778.93x = 277,098.08 × 120,206.39
  4. Step 4: Simplify right side
    200,778.93x = 33,308,957,886.21
  5. Step 5: Solve for x
    x = 33,308,957,886.21/200,778.93
  6. Step 6: Final answer
    x = 165,898.67

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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.