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Finding the Fourth Proportional to 98,176.32, 135,563.22 and 80,029.89

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Solution

The fourth proportional to 98,176.32, 135,563.22 and 80,029.89 is: 110,506.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,176.32 : 135,563.22 = 80,029.89 : x
  2. Step 2: Convert to fraction form
    98,176.32/135,563.22 = 80,029.89/x
  3. Step 3: Cross multiply
    98,176.32x = 135,563.22 × 80,029.89
  4. Step 4: Simplify right side
    98,176.32x = 10,849,109,584.65
  5. Step 5: Solve for x
    x = 10,849,109,584.65/98,176.32
  6. Step 6: Final answer
    x = 110,506.38

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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.