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Finding the Fourth Proportional to 201,153.90, 301,730.82 and 51,394.48

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Solution

The fourth proportional to 201,153.90, 301,730.82 and 51,394.48 is: 77,091.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,153.90 : 301,730.82 = 51,394.48 : x
  2. Step 2: Convert to fraction form
    201,153.90/301,730.82 = 51,394.48/x
  3. Step 3: Cross multiply
    201,153.90x = 301,730.82 × 51,394.48
  4. Step 4: Simplify right side
    201,153.90x = 15,507,298,593.87
  5. Step 5: Solve for x
    x = 15,507,298,593.87/201,153.90
  6. Step 6: Final answer
    x = 77,091.71

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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.