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Finding the Fourth Proportional to 135,642, 187,185.96 and 82,650

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Solution

The fourth proportional to 135,642, 187,185.96 and 82,650 is: 114,057

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,642 : 187,185.96 = 82,650 : x
  2. Step 2: Convert to fraction form
    135,642/187,185.96 = 82,650/x
  3. Step 3: Cross multiply
    135,642x = 187,185.96 × 82,650
  4. Step 4: Simplify right side
    135,642x = 15,470,919,594
  5. Step 5: Solve for x
    x = 15,470,919,594/135,642
  6. Step 6: Final answer
    x = 114,057

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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.