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Finding the Fourth Proportional to 98,065.32, 147,097.97 and 68,540.82

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Solution

The fourth proportional to 98,065.32, 147,097.97 and 68,540.82 is: 102,811.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,065.32 : 147,097.97 = 68,540.82 : x
  2. Step 2: Convert to fraction form
    98,065.32/147,097.97 = 68,540.82/x
  3. Step 3: Cross multiply
    98,065.32x = 147,097.97 × 68,540.82
  4. Step 4: Simplify right side
    98,065.32x = 10,082,214,748.65
  5. Step 5: Solve for x
    x = 10,082,214,748.65/98,065.32
  6. Step 6: Final answer
    x = 102,811.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.