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Finding the Fourth Proportional to 70,075.36, 105,142.20 and 42,049.36

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Solution

The fourth proportional to 70,075.36, 105,142.20 and 42,049.36 is: 63,091.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,075.36 : 105,142.20 = 42,049.36 : x
  2. Step 2: Convert to fraction form
    70,075.36/105,142.20 = 42,049.36/x
  3. Step 3: Cross multiply
    70,075.36x = 105,142.20 × 42,049.36
  4. Step 4: Simplify right side
    70,075.36x = 4,421,162,218.99
  5. Step 5: Solve for x
    x = 4,421,162,218.99/70,075.36
  6. Step 6: Final answer
    x = 63,091.54

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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.