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Finding the Fourth Proportional to 208,515, 312,830.10 and 60,771

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Solution

The fourth proportional to 208,515, 312,830.10 and 60,771 is: 91,173.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,515 : 312,830.10 = 60,771 : x
  2. Step 2: Convert to fraction form
    208,515/312,830.10 = 60,771/x
  3. Step 3: Cross multiply
    208,515x = 312,830.10 × 60,771
  4. Step 4: Simplify right side
    208,515x = 19,010,998,007.10
  5. Step 5: Solve for x
    x = 19,010,998,007.10/208,515
  6. Step 6: Final answer
    x = 91,173.29

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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.