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Finding the Fourth Proportional to 128,611.84, 192,678 and 75,864.64

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Solution

The fourth proportional to 128,611.84, 192,678 and 75,864.64 is: 113,655.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,611.84 : 192,678 = 75,864.64 : x
  2. Step 2: Convert to fraction form
    128,611.84/192,678 = 75,864.64/x
  3. Step 3: Cross multiply
    128,611.84x = 192,678 × 75,864.64
  4. Step 4: Simplify right side
    128,611.84x = 14,617,447,105.92
  5. Step 5: Solve for x
    x = 14,617,447,105.92/128,611.84
  6. Step 6: Final answer
    x = 113,655.53

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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.