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Finding the Fourth Proportional to 201,195.78, 301,793.06 and 51,436.10

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Solution

The fourth proportional to 201,195.78, 301,793.06 and 51,436.10 is: 77,153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,195.78 : 301,793.06 = 51,436.10 : x
  2. Step 2: Convert to fraction form
    201,195.78/301,793.06 = 51,436.10/x
  3. Step 3: Cross multiply
    201,195.78x = 301,793.06 × 51,436.10
  4. Step 4: Simplify right side
    201,195.78x = 15,523,056,247.32
  5. Step 5: Solve for x
    x = 15,523,056,247.32/201,195.78
  6. Step 6: Final answer
    x = 77,153.99

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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.