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Finding the Fourth Proportional to 85,361.56, 128,039.08 and 23,033.68

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Solution

The fourth proportional to 85,361.56, 128,039.08 and 23,033.68 is: 34,549.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,361.56 : 128,039.08 = 23,033.68 : x
  2. Step 2: Convert to fraction form
    85,361.56/128,039.08 = 23,033.68/x
  3. Step 3: Cross multiply
    85,361.56x = 128,039.08 × 23,033.68
  4. Step 4: Simplify right side
    85,361.56x = 2,949,211,196.21
  5. Step 5: Solve for x
    x = 2,949,211,196.21/85,361.56
  6. Step 6: Final answer
    x = 34,549.64

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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.