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Finding the Fourth Proportional to 201,697.30, 302,358.01 and 68,486.45

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Solution

The fourth proportional to 201,697.30, 302,358.01 and 68,486.45 is: 102,665.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,697.30 : 302,358.01 = 68,486.45 : x
  2. Step 2: Convert to fraction form
    201,697.30/302,358.01 = 68,486.45/x
  3. Step 3: Cross multiply
    201,697.30x = 302,358.01 × 68,486.45
  4. Step 4: Simplify right side
    201,697.30x = 20,707,425,978.07
  5. Step 5: Solve for x
    x = 20,707,425,978.07/201,697.30
  6. Step 6: Final answer
    x = 102,665.85

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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.