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Finding the Fourth Proportional to 201,814.38, 278,503.91 and 116,980.65

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Solution

The fourth proportional to 201,814.38, 278,503.91 and 116,980.65 is: 161,433.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,814.38 : 278,503.91 = 116,980.65 : x
  2. Step 2: Convert to fraction form
    201,814.38/278,503.91 = 116,980.65/x
  3. Step 3: Cross multiply
    201,814.38x = 278,503.91 × 116,980.65
  4. Step 4: Simplify right side
    201,814.38x = 32,579,568,419.34
  5. Step 5: Solve for x
    x = 32,579,568,419.34/201,814.38
  6. Step 6: Final answer
    x = 161,433.34

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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.