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Finding the Fourth Proportional to 202,896.53, 280,086.90 and 121,253.60

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Solution

The fourth proportional to 202,896.53, 280,086.90 and 121,253.60 is: 167,383.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,896.53 : 280,086.90 = 121,253.60 : x
  2. Step 2: Convert to fraction form
    202,896.53/280,086.90 = 121,253.60/x
  3. Step 3: Cross multiply
    202,896.53x = 280,086.90 × 121,253.60
  4. Step 4: Simplify right side
    202,896.53x = 33,961,544,937.84
  5. Step 5: Solve for x
    x = 33,961,544,937.84/202,896.53
  6. Step 6: Final answer
    x = 167,383.57

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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.