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Finding the Fourth Proportional to 201,613.40, 278,208.42 and 116,736.20

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Solution

The fourth proportional to 201,613.40, 278,208.42 and 116,736.20 is: 161,085.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,613.40 : 278,208.42 = 116,736.20 : x
  2. Step 2: Convert to fraction form
    201,613.40/278,208.42 = 116,736.20/x
  3. Step 3: Cross multiply
    201,613.40x = 278,208.42 × 116,736.20
  4. Step 4: Simplify right side
    201,613.40x = 32,476,993,758.80
  5. Step 5: Solve for x
    x = 32,476,993,758.80/201,613.40
  6. Step 6: Final answer
    x = 161,085.49

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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.