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Finding the Fourth Proportional to 201,422.24, 301,861.19 and 76,695.20

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Solution

The fourth proportional to 201,422.24, 301,861.19 and 76,695.20 is: 114,939.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,422.24 : 301,861.19 = 76,695.20 : x
  2. Step 2: Convert to fraction form
    201,422.24/301,861.19 = 76,695.20/x
  3. Step 3: Cross multiply
    201,422.24x = 301,861.19 × 76,695.20
  4. Step 4: Simplify right side
    201,422.24x = 23,151,303,021.72
  5. Step 5: Solve for x
    x = 23,151,303,021.72/201,422.24
  6. Step 6: Final answer
    x = 114,939.16

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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.