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Finding the Fourth Proportional to 149,171.40, 205,853.65 and 81,189.87

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Solution

The fourth proportional to 149,171.40, 205,853.65 and 81,189.87 is: 112,040.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,171.40 : 205,853.65 = 81,189.87 : x
  2. Step 2: Convert to fraction form
    149,171.40/205,853.65 = 81,189.87/x
  3. Step 3: Cross multiply
    149,171.40x = 205,853.65 × 81,189.87
  4. Step 4: Simplify right side
    149,171.40x = 16,713,231,143.26
  5. Step 5: Solve for x
    x = 16,713,231,143.26/149,171.40
  6. Step 6: Final answer
    x = 112,040.45

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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.