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Finding the Fourth Proportional to 149,996.78, 225,057.28 and 65,713.40

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Solution

The fourth proportional to 149,996.78, 225,057.28 and 65,713.40 is: 98,597.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,996.78 : 225,057.28 = 65,713.40 : x
  2. Step 2: Convert to fraction form
    149,996.78/225,057.28 = 65,713.40/x
  3. Step 3: Cross multiply
    149,996.78x = 225,057.28 × 65,713.40
  4. Step 4: Simplify right side
    149,996.78x = 14,789,279,063.55
  5. Step 5: Solve for x
    x = 14,789,279,063.55/149,996.78
  6. Step 6: Final answer
    x = 98,597.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.