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Finding the Fourth Proportional to 201,748.70, 302,507.85 and 83,279.90

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Solution

The fourth proportional to 201,748.70, 302,507.85 and 83,279.90 is: 124,872.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,748.70 : 302,507.85 = 83,279.90 : x
  2. Step 2: Convert to fraction form
    201,748.70/302,507.85 = 83,279.90/x
  3. Step 3: Cross multiply
    201,748.70x = 302,507.85 × 83,279.90
  4. Step 4: Simplify right side
    201,748.70x = 25,192,823,497.22
  5. Step 5: Solve for x
    x = 25,192,823,497.22/201,748.70
  6. Step 6: Final answer
    x = 124,872.30

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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.