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Finding the Fourth Proportional to 128,542.64, 192,853.31 and 57,525.03

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Solution

The fourth proportional to 128,542.64, 192,853.31 and 57,525.03 is: 86,305.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,542.64 : 192,853.31 = 57,525.03 : x
  2. Step 2: Convert to fraction form
    128,542.64/192,853.31 = 57,525.03/x
  3. Step 3: Cross multiply
    128,542.64x = 192,853.31 × 57,525.03
  4. Step 4: Simplify right side
    128,542.64x = 11,093,892,155.72
  5. Step 5: Solve for x
    x = 11,093,892,155.72/128,542.64
  6. Step 6: Final answer
    x = 86,305.16

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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.