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Finding the Fourth Proportional to 201,316.82, 277,844.16 and 129,904.46

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Solution

The fourth proportional to 201,316.82, 277,844.16 and 129,904.46 is: 179,285.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,316.82 : 277,844.16 = 129,904.46 : x
  2. Step 2: Convert to fraction form
    201,316.82/277,844.16 = 129,904.46/x
  3. Step 3: Cross multiply
    201,316.82x = 277,844.16 × 129,904.46
  4. Step 4: Simplify right side
    201,316.82x = 36,093,195,568.95
  5. Step 5: Solve for x
    x = 36,093,195,568.95/201,316.82
  6. Step 6: Final answer
    x = 179,285.54

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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.