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Finding the Fourth Proportional to 201,914.76, 278,625.74 and 115,900.04

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Solution

The fourth proportional to 201,914.76, 278,625.74 and 115,900.04 is: 159,932.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,914.76 : 278,625.74 = 115,900.04 : x
  2. Step 2: Convert to fraction form
    201,914.76/278,625.74 = 115,900.04/x
  3. Step 3: Cross multiply
    201,914.76x = 278,625.74 × 115,900.04
  4. Step 4: Simplify right side
    201,914.76x = 32,292,734,411.03
  5. Step 5: Solve for x
    x = 32,292,734,411.03/201,914.76
  6. Step 6: Final answer
    x = 159,932.51

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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.