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Finding the Fourth Proportional to 77,162.28, 115,687.84 and 35,021.22

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Solution

The fourth proportional to 77,162.28, 115,687.84 and 35,021.22 is: 52,506.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,162.28 : 115,687.84 = 35,021.22 : x
  2. Step 2: Convert to fraction form
    77,162.28/115,687.84 = 35,021.22/x
  3. Step 3: Cross multiply
    77,162.28x = 115,687.84 × 35,021.22
  4. Step 4: Simplify right side
    77,162.28x = 4,051,529,295.96
  5. Step 5: Solve for x
    x = 4,051,529,295.96/77,162.28
  6. Step 6: Final answer
    x = 52,506.60

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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.