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Finding the Fourth Proportional to 201,814.60, 302,721.90 and 83,716.60

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Solution

The fourth proportional to 201,814.60, 302,721.90 and 83,716.60 is: 125,574.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,814.60 : 302,721.90 = 83,716.60 : x
  2. Step 2: Convert to fraction form
    201,814.60/302,721.90 = 83,716.60/x
  3. Step 3: Cross multiply
    201,814.60x = 302,721.90 × 83,716.60
  4. Step 4: Simplify right side
    201,814.60x = 25,342,848,213.54
  5. Step 5: Solve for x
    x = 25,342,848,213.54/201,814.60
  6. Step 6: Final answer
    x = 125,574.90

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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.