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Finding the Fourth Proportional to 201,243.51, 301,928.49 and 82,970.55

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Solution

The fourth proportional to 201,243.51, 301,928.49 and 82,970.55 is: 124,481.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,243.51 : 301,928.49 = 82,970.55 : x
  2. Step 2: Convert to fraction form
    201,243.51/301,928.49 = 82,970.55/x
  3. Step 3: Cross multiply
    201,243.51x = 301,928.49 × 82,970.55
  4. Step 4: Simplify right side
    201,243.51x = 25,051,172,875.97
  5. Step 5: Solve for x
    x = 25,051,172,875.97/201,243.51
  6. Step 6: Final answer
    x = 124,481.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.