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Finding the Fourth Proportional to 201,784.76, 278,455.34 and 121,256.69

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Solution

The fourth proportional to 201,784.76, 278,455.34 and 121,256.69 is: 167,329.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,784.76 : 278,455.34 = 121,256.69 : x
  2. Step 2: Convert to fraction form
    201,784.76/278,455.34 = 121,256.69/x
  3. Step 3: Cross multiply
    201,784.76x = 278,455.34 × 121,256.69
  4. Step 4: Simplify right side
    201,784.76x = 33,764,571,752.09
  5. Step 5: Solve for x
    x = 33,764,571,752.09/201,784.76
  6. Step 6: Final answer
    x = 167,329.64

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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.