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Finding the Fourth Proportional to 201,310.40, 301,964.52 and 51,550.40

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Solution

The fourth proportional to 201,310.40, 301,964.52 and 51,550.40 is: 77,325.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,310.40 : 301,964.52 = 51,550.40 : x
  2. Step 2: Convert to fraction form
    201,310.40/301,964.52 = 51,550.40/x
  3. Step 3: Cross multiply
    201,310.40x = 301,964.52 × 51,550.40
  4. Step 4: Simplify right side
    201,310.40x = 15,566,391,791.81
  5. Step 5: Solve for x
    x = 15,566,391,791.81/201,310.40
  6. Step 6: Final answer
    x = 77,325.32

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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.