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Finding the Fourth Proportional to 98,394.13, 135,792.21 and 80,438.86

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Solution

The fourth proportional to 98,394.13, 135,792.21 and 80,438.86 is: 111,012.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,394.13 : 135,792.21 = 80,438.86 : x
  2. Step 2: Convert to fraction form
    98,394.13/135,792.21 = 80,438.86/x
  3. Step 3: Cross multiply
    98,394.13x = 135,792.21 × 80,438.86
  4. Step 4: Simplify right side
    98,394.13x = 10,922,970,569.28
  5. Step 5: Solve for x
    x = 10,922,970,569.28/98,394.13
  6. Step 6: Final answer
    x = 111,012.42

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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.