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Finding the Fourth Proportional to 201,908.80, 278,634.54 and 121,337.56

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Solution

The fourth proportional to 201,908.80, 278,634.54 and 121,337.56 is: 167,446.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,908.80 : 278,634.54 = 121,337.56 : x
  2. Step 2: Convert to fraction form
    201,908.80/278,634.54 = 121,337.56/x
  3. Step 3: Cross multiply
    201,908.80x = 278,634.54 × 121,337.56
  4. Step 4: Simplify right side
    201,908.80x = 33,808,835,215.32
  5. Step 5: Solve for x
    x = 33,808,835,215.32/201,908.80
  6. Step 6: Final answer
    x = 167,446.07

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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.