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Finding the Fourth Proportional to 70,665.70, 105,998.13 and 18,075.10

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Solution

The fourth proportional to 70,665.70, 105,998.13 and 18,075.10 is: 27,112.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,665.70 : 105,998.13 = 18,075.10 : x
  2. Step 2: Convert to fraction form
    70,665.70/105,998.13 = 18,075.10/x
  3. Step 3: Cross multiply
    70,665.70x = 105,998.13 × 18,075.10
  4. Step 4: Simplify right side
    70,665.70x = 1,915,926,799.56
  5. Step 5: Solve for x
    x = 1,915,926,799.56/70,665.70
  6. Step 6: Final answer
    x = 27,112.54

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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.