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Finding the Fourth Proportional to 85,297.64, 127,918.73 and 28,356.26

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Solution

The fourth proportional to 85,297.64, 127,918.73 and 28,356.26 is: 42,525.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,297.64 : 127,918.73 = 28,356.26 : x
  2. Step 2: Convert to fraction form
    85,297.64/127,918.73 = 28,356.26/x
  3. Step 3: Cross multiply
    85,297.64x = 127,918.73 × 28,356.26
  4. Step 4: Simplify right side
    85,297.64x = 3,627,296,198.05
  5. Step 5: Solve for x
    x = 3,627,296,198.05/85,297.64
  6. Step 6: Final answer
    x = 42,525.17

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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.