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Finding the Fourth Proportional to 201,993.88, 278,718.96 and 121,402.12

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Solution

The fourth proportional to 201,993.88, 278,718.96 and 121,402.12 is: 167,515.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,993.88 : 278,718.96 = 121,402.12 : x
  2. Step 2: Convert to fraction form
    201,993.88/278,718.96 = 121,402.12/x
  3. Step 3: Cross multiply
    201,993.88x = 278,718.96 × 121,402.12
  4. Step 4: Simplify right side
    201,993.88x = 33,837,072,628.20
  5. Step 5: Solve for x
    x = 33,837,072,628.20/201,993.88
  6. Step 6: Final answer
    x = 167,515.34

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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.