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Finding the Fourth Proportional to 145,459.49, 200,735.31 and 81,796.73

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Solution

The fourth proportional to 145,459.49, 200,735.31 and 81,796.73 is: 112,880.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,459.49 : 200,735.31 = 81,796.73 : x
  2. Step 2: Convert to fraction form
    145,459.49/200,735.31 = 81,796.73/x
  3. Step 3: Cross multiply
    145,459.49x = 200,735.31 × 81,796.73
  4. Step 4: Simplify right side
    145,459.49x = 16,419,491,953.54
  5. Step 5: Solve for x
    x = 16,419,491,953.54/145,459.49
  6. Step 6: Final answer
    x = 112,880.17

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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.