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Finding the Fourth Proportional to 137,596.28, 189,903.62 and 83,912.43

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Solution

The fourth proportional to 137,596.28, 189,903.62 and 83,912.43 is: 115,811.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,596.28 : 189,903.62 = 83,912.43 : x
  2. Step 2: Convert to fraction form
    137,596.28/189,903.62 = 83,912.43/x
  3. Step 3: Cross multiply
    137,596.28x = 189,903.62 × 83,912.43
  4. Step 4: Simplify right side
    137,596.28x = 15,935,274,607.81
  5. Step 5: Solve for x
    x = 15,935,274,607.81/137,596.28
  6. Step 6: Final answer
    x = 115,811.81

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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.