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Finding the Fourth Proportional to 190,162, 262,423.56 and 105,284.53

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Solution

The fourth proportional to 190,162, 262,423.56 and 105,284.53 is: 145,292.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,162 : 262,423.56 = 105,284.53 : x
  2. Step 2: Convert to fraction form
    190,162/262,423.56 = 105,284.53/x
  3. Step 3: Cross multiply
    190,162x = 262,423.56 × 105,284.53
  4. Step 4: Simplify right side
    190,162x = 27,629,141,175.53
  5. Step 5: Solve for x
    x = 27,629,141,175.53/190,162
  6. Step 6: Final answer
    x = 145,292.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.