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Finding the Fourth Proportional to 128,704.64, 192,986.80 and 38,734.24

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Solution

The fourth proportional to 128,704.64, 192,986.80 and 38,734.24 is: 58,080.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,704.64 : 192,986.80 = 38,734.24 : x
  2. Step 2: Convert to fraction form
    128,704.64/192,986.80 = 38,734.24/x
  3. Step 3: Cross multiply
    128,704.64x = 192,986.80 × 38,734.24
  4. Step 4: Simplify right side
    128,704.64x = 7,475,197,028.03
  5. Step 5: Solve for x
    x = 7,475,197,028.03/128,704.64
  6. Step 6: Final answer
    x = 58,080.25

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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.