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Finding the Fourth Proportional to 201,748.70, 301,845.45 and 131,764.70

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Solution

The fourth proportional to 201,748.70, 301,845.45 and 131,764.70 is: 197,139.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,748.70 : 301,845.45 = 131,764.70 : x
  2. Step 2: Convert to fraction form
    201,748.70/301,845.45 = 131,764.70/x
  3. Step 3: Cross multiply
    201,748.70x = 301,845.45 × 131,764.70
  4. Step 4: Simplify right side
    201,748.70x = 39,772,575,165.62
  5. Step 5: Solve for x
    x = 39,772,575,165.62/201,748.70
  6. Step 6: Final answer
    x = 197,139.19

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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.