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Finding the Fourth Proportional to 201,886.30, 278,578.74 and 115,840.54

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Solution

The fourth proportional to 201,886.30, 278,578.74 and 115,840.54 is: 159,845.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,886.30 : 278,578.74 = 115,840.54 : x
  2. Step 2: Convert to fraction form
    201,886.30/278,578.74 = 115,840.54/x
  3. Step 3: Cross multiply
    201,886.30x = 278,578.74 × 115,840.54
  4. Step 4: Simplify right side
    201,886.30x = 32,270,711,674.12
  5. Step 5: Solve for x
    x = 32,270,711,674.12/201,886.30
  6. Step 6: Final answer
    x = 159,845.97

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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.