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Finding the Fourth Proportional to 128,525.44, 192,805.12 and 57,448.64

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Solution

The fourth proportional to 128,525.44, 192,805.12 and 57,448.64 is: 86,180.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,525.44 : 192,805.12 = 57,448.64 : x
  2. Step 2: Convert to fraction form
    128,525.44/192,805.12 = 57,448.64/x
  3. Step 3: Cross multiply
    128,525.44x = 192,805.12 × 57,448.64
  4. Step 4: Simplify right side
    128,525.44x = 11,076,391,929.04
  5. Step 5: Solve for x
    x = 11,076,391,929.04/128,525.44
  6. Step 6: Final answer
    x = 86,180.54

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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.