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Finding the Fourth Proportional to 98,608.16, 135,792.60 and 85,682

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Solution

The fourth proportional to 98,608.16, 135,792.60 and 85,682 is: 117,992.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,608.16 : 135,792.60 = 85,682 : x
  2. Step 2: Convert to fraction form
    98,608.16/135,792.60 = 85,682/x
  3. Step 3: Cross multiply
    98,608.16x = 135,792.60 × 85,682
  4. Step 4: Simplify right side
    98,608.16x = 11,634,981,553.20
  5. Step 5: Solve for x
    x = 11,634,981,553.20/98,608.16
  6. Step 6: Final answer
    x = 117,992.08

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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.