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Finding the Fourth Proportional to 201,349.60, 301,836.56 and 68,137.20

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Solution

The fourth proportional to 201,349.60, 301,836.56 and 68,137.20 is: 102,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,349.60 : 301,836.56 = 68,137.20 : x
  2. Step 2: Convert to fraction form
    201,349.60/301,836.56 = 68,137.20/x
  3. Step 3: Cross multiply
    201,349.60x = 301,836.56 × 68,137.20
  4. Step 4: Simplify right side
    201,349.60x = 20,566,298,056.03
  5. Step 5: Solve for x
    x = 20,566,298,056.03/201,349.60
  6. Step 6: Final answer
    x = 102,142.23

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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.