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Finding the Fourth Proportional to 117,989.31, 177,009.87 and 86,729.79

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Solution

The fourth proportional to 117,989.31, 177,009.87 and 86,729.79 is: 130,113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,989.31 : 177,009.87 = 86,729.79 : x
  2. Step 2: Convert to fraction form
    117,989.31/177,009.87 = 86,729.79/x
  3. Step 3: Cross multiply
    117,989.31x = 177,009.87 × 86,729.79
  4. Step 4: Simplify right side
    117,989.31x = 15,352,028,853.03
  5. Step 5: Solve for x
    x = 15,352,028,853.03/117,989.31
  6. Step 6: Final answer
    x = 130,113.73

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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.