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Finding the Fourth Proportional to 201,914.40, 278,538.84 and 138,313.20

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Solution

The fourth proportional to 201,914.40, 278,538.84 and 138,313.20 is: 190,801.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,914.40 : 278,538.84 = 138,313.20 : x
  2. Step 2: Convert to fraction form
    201,914.40/278,538.84 = 138,313.20/x
  3. Step 3: Cross multiply
    201,914.40x = 278,538.84 × 138,313.20
  4. Step 4: Simplify right side
    201,914.40x = 38,525,598,284.69
  5. Step 5: Solve for x
    x = 38,525,598,284.69/201,914.40
  6. Step 6: Final answer
    x = 190,801.64

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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.