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Finding the Fourth Proportional to 208,166.80, 312,250.98 and 50,395

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Solution

The fourth proportional to 208,166.80, 312,250.98 and 50,395 is: 75,592.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,166.80 : 312,250.98 = 50,395 : x
  2. Step 2: Convert to fraction form
    208,166.80/312,250.98 = 50,395/x
  3. Step 3: Cross multiply
    208,166.80x = 312,250.98 × 50,395
  4. Step 4: Simplify right side
    208,166.80x = 15,735,888,137.10
  5. Step 5: Solve for x
    x = 15,735,888,137.10/208,166.80
  6. Step 6: Final answer
    x = 75,592.69

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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.