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Finding the Fourth Proportional to 150,170, 225,075.24 and 70,100.24

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Solution

The fourth proportional to 150,170, 225,075.24 and 70,100.24 is: 105,066.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,170 : 225,075.24 = 70,100.24 : x
  2. Step 2: Convert to fraction form
    150,170/225,075.24 = 70,100.24/x
  3. Step 3: Cross multiply
    150,170x = 225,075.24 × 70,100.24
  4. Step 4: Simplify right side
    150,170x = 15,777,828,342.06
  5. Step 5: Solve for x
    x = 15,777,828,342.06/150,170
  6. Step 6: Final answer
    x = 105,066.45

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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.