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Finding the Fourth Proportional to 137,057.62, 189,197.81 and 83,359.89

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Solution

The fourth proportional to 137,057.62, 189,197.81 and 83,359.89 is: 115,072.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,057.62 : 189,197.81 = 83,359.89 : x
  2. Step 2: Convert to fraction form
    137,057.62/189,197.81 = 83,359.89/x
  3. Step 3: Cross multiply
    137,057.62x = 189,197.81 × 83,359.89
  4. Step 4: Simplify right side
    137,057.62x = 15,771,508,629.84
  5. Step 5: Solve for x
    x = 15,771,508,629.84/137,057.62
  6. Step 6: Final answer
    x = 115,072.10

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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.