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Finding the Fourth Proportional to 117,984.81, 177,003.12 and 86,725.29

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Solution

The fourth proportional to 117,984.81, 177,003.12 and 86,725.29 is: 130,106.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,984.81 : 177,003.12 = 86,725.29 : x
  2. Step 2: Convert to fraction form
    117,984.81/177,003.12 = 86,725.29/x
  3. Step 3: Cross multiply
    117,984.81x = 177,003.12 × 86,725.29
  4. Step 4: Simplify right side
    117,984.81x = 15,350,646,912.90
  5. Step 5: Solve for x
    x = 15,350,646,912.90/117,984.81
  6. Step 6: Final answer
    x = 130,106.98

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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.