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Finding the Fourth Proportional to 122,759.69, 183,844.28 and 85,274.51

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Solution

The fourth proportional to 122,759.69, 183,844.28 and 85,274.51 is: 127,706.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,759.69 : 183,844.28 = 85,274.51 : x
  2. Step 2: Convert to fraction form
    122,759.69/183,844.28 = 85,274.51/x
  3. Step 3: Cross multiply
    122,759.69x = 183,844.28 × 85,274.51
  4. Step 4: Simplify right side
    122,759.69x = 15,677,230,187.27
  5. Step 5: Solve for x
    x = 15,677,230,187.27/122,759.69
  6. Step 6: Final answer
    x = 127,706.67

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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.