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Finding the Fourth Proportional to 70,713, 106,075.88 and 18,122.94

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Solution

The fourth proportional to 70,713, 106,075.88 and 18,122.94 is: 27,186.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,713 : 106,075.88 = 18,122.94 : x
  2. Step 2: Convert to fraction form
    70,713/106,075.88 = 18,122.94/x
  3. Step 3: Cross multiply
    70,713x = 106,075.88 × 18,122.94
  4. Step 4: Simplify right side
    70,713x = 1,922,406,786.03
  5. Step 5: Solve for x
    x = 1,922,406,786.03/70,713
  6. Step 6: Final answer
    x = 27,186.04

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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.