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Finding the Fourth Proportional to 201,668, 278,301.84 and 112,242.08

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Solution

The fourth proportional to 201,668, 278,301.84 and 112,242.08 is: 154,894.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,668 : 278,301.84 = 112,242.08 : x
  2. Step 2: Convert to fraction form
    201,668/278,301.84 = 112,242.08/x
  3. Step 3: Cross multiply
    201,668x = 278,301.84 × 112,242.08
  4. Step 4: Simplify right side
    201,668x = 31,237,177,389.43
  5. Step 5: Solve for x
    x = 31,237,177,389.43/201,668
  6. Step 6: Final answer
    x = 154,894.07

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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.