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Finding the Fourth Proportional to 201,760.20, 301,862.70 and 131,776.20

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Solution

The fourth proportional to 201,760.20, 301,862.70 and 131,776.20 is: 197,156.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,760.20 : 301,862.70 = 131,776.20 : x
  2. Step 2: Convert to fraction form
    201,760.20/301,862.70 = 131,776.20/x
  3. Step 3: Cross multiply
    201,760.20x = 301,862.70 × 131,776.20
  4. Step 4: Simplify right side
    201,760.20x = 39,778,319,527.74
  5. Step 5: Solve for x
    x = 39,778,319,527.74/201,760.20
  6. Step 6: Final answer
    x = 197,156.42

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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.