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Finding the Fourth Proportional to 201,402.60, 301,758.30 and 131,245.80

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Solution

The fourth proportional to 201,402.60, 301,758.30 and 131,245.80 is: 196,643.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,402.60 : 301,758.30 = 131,245.80 : x
  2. Step 2: Convert to fraction form
    201,402.60/301,758.30 = 131,245.80/x
  3. Step 3: Cross multiply
    201,402.60x = 301,758.30 × 131,245.80
  4. Step 4: Simplify right side
    201,402.60x = 39,604,509,490.14
  5. Step 5: Solve for x
    x = 39,604,509,490.14/201,402.60
  6. Step 6: Final answer
    x = 196,643.49

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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.