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Finding the Fourth Proportional to 68,643.40, 102,965.10 and 61,126.60

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Solution

The fourth proportional to 68,643.40, 102,965.10 and 61,126.60 is: 91,689.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,643.40 : 102,965.10 = 61,126.60 : x
  2. Step 2: Convert to fraction form
    68,643.40/102,965.10 = 61,126.60/x
  3. Step 3: Cross multiply
    68,643.40x = 102,965.10 × 61,126.60
  4. Step 4: Simplify right side
    68,643.40x = 6,293,906,481.66
  5. Step 5: Solve for x
    x = 6,293,906,481.66/68,643.40
  6. Step 6: Final answer
    x = 91,689.90

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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.