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Finding the Fourth Proportional to 86,201.89, 118,956.33 and 47,959.49

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Solution

The fourth proportional to 86,201.89, 118,956.33 and 47,959.49 is: 66,182.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,201.89 : 118,956.33 = 47,959.49 : x
  2. Step 2: Convert to fraction form
    86,201.89/118,956.33 = 47,959.49/x
  3. Step 3: Cross multiply
    86,201.89x = 118,956.33 × 47,959.49
  4. Step 4: Simplify right side
    86,201.89x = 5,705,085,216.46
  5. Step 5: Solve for x
    x = 5,705,085,216.46/86,201.89
  6. Step 6: Final answer
    x = 66,182.83

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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.