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Finding the Fourth Proportional to 68,171.10, 102,097.94 and 65,806.40

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Solution

The fourth proportional to 68,171.10, 102,097.94 and 65,806.40 is: 98,556.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,171.10 : 102,097.94 = 65,806.40 : x
  2. Step 2: Convert to fraction form
    68,171.10/102,097.94 = 65,806.40/x
  3. Step 3: Cross multiply
    68,171.10x = 102,097.94 × 65,806.40
  4. Step 4: Simplify right side
    68,171.10x = 6,718,697,805.03
  5. Step 5: Solve for x
    x = 6,718,697,805.03/68,171.10
  6. Step 6: Final answer
    x = 98,556.40

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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.