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Finding the Fourth Proportional to 66,705.42, 100,075.41 and 25,152.78

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Solution

The fourth proportional to 66,705.42, 100,075.41 and 25,152.78 is: 37,735.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,705.42 : 100,075.41 = 25,152.78 : x
  2. Step 2: Convert to fraction form
    66,705.42/100,075.41 = 25,152.78/x
  3. Step 3: Cross multiply
    66,705.42x = 100,075.41 × 25,152.78
  4. Step 4: Simplify right side
    66,705.42x = 2,517,174,771.14
  5. Step 5: Solve for x
    x = 2,517,174,771.14/66,705.42
  6. Step 6: Final answer
    x = 37,735.69

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1.5x scale

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.