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Finding the Fourth Proportional to 86,150, 118,894.30 and 48,431.54

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Solution

The fourth proportional to 86,150, 118,894.30 and 48,431.54 is: 66,839.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,150 : 118,894.30 = 48,431.54 : x
  2. Step 2: Convert to fraction form
    86,150/118,894.30 = 48,431.54/x
  3. Step 3: Cross multiply
    86,150x = 118,894.30 × 48,431.54
  4. Step 4: Simplify right side
    86,150x = 5,758,234,046.22
  5. Step 5: Solve for x
    x = 5,758,234,046.22/86,150
  6. Step 6: Final answer
    x = 66,839.63

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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.