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Finding the Fourth Proportional to 145,614.88, 200,955 and 81,956.80

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Solution

The fourth proportional to 145,614.88, 200,955 and 81,956.80 is: 113,104.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,614.88 : 200,955 = 81,956.80 : x
  2. Step 2: Convert to fraction form
    145,614.88/200,955 = 81,956.80/x
  3. Step 3: Cross multiply
    145,614.88x = 200,955 × 81,956.80
  4. Step 4: Simplify right side
    145,614.88x = 16,469,628,744
  5. Step 5: Solve for x
    x = 16,469,628,744/145,614.88
  6. Step 6: Final answer
    x = 113,104.02

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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.