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Finding the Fourth Proportional to 142,604, 196,845.36 and 82,988

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Solution

The fourth proportional to 142,604, 196,845.36 and 82,988 is: 114,553.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,604 : 196,845.36 = 82,988 : x
  2. Step 2: Convert to fraction form
    142,604/196,845.36 = 82,988/x
  3. Step 3: Cross multiply
    142,604x = 196,845.36 × 82,988
  4. Step 4: Simplify right side
    142,604x = 16,335,802,735.68
  5. Step 5: Solve for x
    x = 16,335,802,735.68/142,604
  6. Step 6: Final answer
    x = 114,553.61

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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.