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Finding the Fourth Proportional to 68,296.80, 102,380.40 and 61,298.40

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Solution

The fourth proportional to 68,296.80, 102,380.40 and 61,298.40 is: 91,889.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,296.80 : 102,380.40 = 61,298.40 : x
  2. Step 2: Convert to fraction form
    68,296.80/102,380.40 = 61,298.40/x
  3. Step 3: Cross multiply
    68,296.80x = 102,380.40 × 61,298.40
  4. Step 4: Simplify right side
    68,296.80x = 6,275,754,711.36
  5. Step 5: Solve for x
    x = 6,275,754,711.36/68,296.80
  6. Step 6: Final answer
    x = 91,889.44

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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.