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Finding the Fourth Proportional to 68,414.88, 102,786.72 and 64,638.48

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Solution

The fourth proportional to 68,414.88, 102,786.72 and 64,638.48 is: 97,113.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,414.88 : 102,786.72 = 64,638.48 : x
  2. Step 2: Convert to fraction form
    68,414.88/102,786.72 = 64,638.48/x
  3. Step 3: Cross multiply
    68,414.88x = 102,786.72 × 64,638.48
  4. Step 4: Simplify right side
    68,414.88x = 6,643,977,344.99
  5. Step 5: Solve for x
    x = 6,643,977,344.99/68,414.88
  6. Step 6: Final answer
    x = 97,113.05

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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.