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Finding the Fourth Proportional to 201,346.78, 302,021.98 and 61,105.40

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Solution

The fourth proportional to 201,346.78, 302,021.98 and 61,105.40 is: 91,658.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,346.78 : 302,021.98 = 61,105.40 : x
  2. Step 2: Convert to fraction form
    201,346.78/302,021.98 = 61,105.40/x
  3. Step 3: Cross multiply
    201,346.78x = 302,021.98 × 61,105.40
  4. Step 4: Simplify right side
    201,346.78x = 18,455,173,896.69
  5. Step 5: Solve for x
    x = 18,455,173,896.69/201,346.78
  6. Step 6: Final answer
    x = 91,658.65

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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.