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Finding the Fourth Proportional to 208,418.74, 312,627.30 and 50,647.66

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Solution

The fourth proportional to 208,418.74, 312,627.30 and 50,647.66 is: 75,971.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,418.74 : 312,627.30 = 50,647.66 : x
  2. Step 2: Convert to fraction form
    208,418.74/312,627.30 = 50,647.66/x
  3. Step 3: Cross multiply
    208,418.74x = 312,627.30 × 50,647.66
  4. Step 4: Simplify right side
    208,418.74x = 15,833,841,197.12
  5. Step 5: Solve for x
    x = 15,833,841,197.12/208,418.74
  6. Step 6: Final answer
    x = 75,971.29

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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.