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Finding the Fourth Proportional to 201,140.94, 301,815.90 and 81,227.37

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Solution

The fourth proportional to 201,140.94, 301,815.90 and 81,227.37 is: 121,883.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,140.94 : 301,815.90 = 81,227.37 : x
  2. Step 2: Convert to fraction form
    201,140.94/301,815.90 = 81,227.37/x
  3. Step 3: Cross multiply
    201,140.94x = 301,815.90 × 81,227.37
  4. Step 4: Simplify right side
    201,140.94x = 24,515,711,781.18
  5. Step 5: Solve for x
    x = 24,515,711,781.18/201,140.94
  6. Step 6: Final answer
    x = 121,883.25

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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.