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Finding the Fourth Proportional to 201,145.94, 301,823.40 and 81,232.38

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Solution

The fourth proportional to 201,145.94, 301,823.40 and 81,232.38 is: 121,890.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,145.94 : 301,823.40 = 81,232.38 : x
  2. Step 2: Convert to fraction form
    201,145.94/301,823.40 = 81,232.38/x
  3. Step 3: Cross multiply
    201,145.94x = 301,823.40 × 81,232.38
  4. Step 4: Simplify right side
    201,145.94x = 24,517,833,121.69
  5. Step 5: Solve for x
    x = 24,517,833,121.69/201,145.94
  6. Step 6: Final answer
    x = 121,890.77

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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.