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Finding the Fourth Proportional to 277,836.60, 416,711.70 and 78,137.40

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Solution

The fourth proportional to 277,836.60, 416,711.70 and 78,137.40 is: 117,193.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,836.60 : 416,711.70 = 78,137.40 : x
  2. Step 2: Convert to fraction form
    277,836.60/416,711.70 = 78,137.40/x
  3. Step 3: Cross multiply
    277,836.60x = 416,711.70 × 78,137.40
  4. Step 4: Simplify right side
    277,836.60x = 32,560,768,787.58
  5. Step 5: Solve for x
    x = 32,560,768,787.58/277,836.60
  6. Step 6: Final answer
    x = 117,193.95

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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.