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Finding the Fourth Proportional to 201,314.59, 301,750.45 and 82,921.35

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Solution

The fourth proportional to 201,314.59, 301,750.45 and 82,921.35 is: 124,290.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,314.59 : 301,750.45 = 82,921.35 : x
  2. Step 2: Convert to fraction form
    201,314.59/301,750.45 = 82,921.35/x
  3. Step 3: Cross multiply
    201,314.59x = 301,750.45 × 82,921.35
  4. Step 4: Simplify right side
    201,314.59x = 25,021,554,370.45
  5. Step 5: Solve for x
    x = 25,021,554,370.45/201,314.59
  6. Step 6: Final answer
    x = 124,290.81

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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.