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Finding the Fourth Proportional to 201,742.70, 301,836.45 and 131,758.70

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Solution

The fourth proportional to 201,742.70, 301,836.45 and 131,758.70 is: 197,130.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,742.70 : 301,836.45 = 131,758.70 : x
  2. Step 2: Convert to fraction form
    201,742.70/301,836.45 = 131,758.70/x
  3. Step 3: Cross multiply
    201,742.70x = 301,836.45 × 131,758.70
  4. Step 4: Simplify right side
    201,742.70x = 39,769,578,264.62
  5. Step 5: Solve for x
    x = 39,769,578,264.62/201,742.70
  6. Step 6: Final answer
    x = 197,130.20

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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.