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Finding the Fourth Proportional to 201,914.63, 278,643.31 and 115,866.78

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Solution

The fourth proportional to 201,914.63, 278,643.31 and 115,866.78 is: 159,896.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,914.63 : 278,643.31 = 115,866.78 : x
  2. Step 2: Convert to fraction form
    201,914.63/278,643.31 = 115,866.78/x
  3. Step 3: Cross multiply
    201,914.63x = 278,643.31 × 115,866.78
  4. Step 4: Simplify right side
    201,914.63x = 32,285,502,808.57
  5. Step 5: Solve for x
    x = 32,285,502,808.57/201,914.63
  6. Step 6: Final answer
    x = 159,896.80

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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.