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Finding the Fourth Proportional to 201,098.30, 301,647.34 and 51,338.54

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Solution

The fourth proportional to 201,098.30, 301,647.34 and 51,338.54 is: 77,007.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,098.30 : 301,647.34 = 51,338.54 : x
  2. Step 2: Convert to fraction form
    201,098.30/301,647.34 = 51,338.54/x
  3. Step 3: Cross multiply
    201,098.30x = 301,647.34 × 51,338.54
  4. Step 4: Simplify right side
    201,098.30x = 15,486,134,030.48
  5. Step 5: Solve for x
    x = 15,486,134,030.48/201,098.30
  6. Step 6: Final answer
    x = 77,007.78

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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.