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Finding the Fourth Proportional to 51,361.92, 70,872 and 30,136.32

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Solution

The fourth proportional to 51,361.92, 70,872 and 30,136.32 is: 41,583.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,361.92 : 70,872 = 30,136.32 : x
  2. Step 2: Convert to fraction form
    51,361.92/70,872 = 30,136.32/x
  3. Step 3: Cross multiply
    51,361.92x = 70,872 × 30,136.32
  4. Step 4: Simplify right side
    51,361.92x = 2,135,821,271.04
  5. Step 5: Solve for x
    x = 2,135,821,271.04/51,361.92
  6. Step 6: Final answer
    x = 41,583.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.