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Finding the Fourth Proportional to 137,598.28, 189,906.38 and 83,914.44

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Solution

The fourth proportional to 137,598.28, 189,906.38 and 83,914.44 is: 115,814.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,598.28 : 189,906.38 = 83,914.44 : x
  2. Step 2: Convert to fraction form
    137,598.28/189,906.38 = 83,914.44/x
  3. Step 3: Cross multiply
    137,598.28x = 189,906.38 × 83,914.44
  4. Step 4: Simplify right side
    137,598.28x = 15,935,887,530.13
  5. Step 5: Solve for x
    x = 15,935,887,530.13/137,598.28
  6. Step 6: Final answer
    x = 115,814.58

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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.