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Finding the Fourth Proportional to 277,836.39, 416,706.04 and 78,109.33

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Solution

The fourth proportional to 277,836.39, 416,706.04 and 78,109.33 is: 117,150.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,836.39 : 416,706.04 = 78,109.33 : x
  2. Step 2: Convert to fraction form
    277,836.39/416,706.04 = 78,109.33/x
  3. Step 3: Cross multiply
    277,836.39x = 416,706.04 × 78,109.33
  4. Step 4: Simplify right side
    277,836.39x = 32,548,629,200.81
  5. Step 5: Solve for x
    x = 32,548,629,200.81/277,836.39
  6. Step 6: Final answer
    x = 117,150.35

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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.