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Finding the Fourth Proportional to 86,989, 120,044.82 and 47,245

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Solution

The fourth proportional to 86,989, 120,044.82 and 47,245 is: 65,198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,989 : 120,044.82 = 47,245 : x
  2. Step 2: Convert to fraction form
    86,989/120,044.82 = 47,245/x
  3. Step 3: Cross multiply
    86,989x = 120,044.82 × 47,245
  4. Step 4: Simplify right side
    86,989x = 5,671,517,520.90
  5. Step 5: Solve for x
    x = 5,671,517,520.90/86,989
  6. Step 6: Final answer
    x = 65,198.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.