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Finding the Fourth Proportional to 201,662.42, 278,288.33 and 115,618.55

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Solution

The fourth proportional to 201,662.42, 278,288.33 and 115,618.55 is: 159,550.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,662.42 : 278,288.33 = 115,618.55 : x
  2. Step 2: Convert to fraction form
    201,662.42/278,288.33 = 115,618.55/x
  3. Step 3: Cross multiply
    201,662.42x = 278,288.33 × 115,618.55
  4. Step 4: Simplify right side
    201,662.42x = 32,175,291,226.99
  5. Step 5: Solve for x
    x = 32,175,291,226.99/201,662.42
  6. Step 6: Final answer
    x = 159,550.26

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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.