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Finding the Fourth Proportional to 128,722.50, 193,084.02 and 54,850.50

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Solution

The fourth proportional to 128,722.50, 193,084.02 and 54,850.50 is: 82,275.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,722.50 : 193,084.02 = 54,850.50 : x
  2. Step 2: Convert to fraction form
    128,722.50/193,084.02 = 54,850.50/x
  3. Step 3: Cross multiply
    128,722.50x = 193,084.02 × 54,850.50
  4. Step 4: Simplify right side
    128,722.50x = 10,590,755,039.01
  5. Step 5: Solve for x
    x = 10,590,755,039.01/128,722.50
  6. Step 6: Final answer
    x = 82,275.87

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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.