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Finding the Fourth Proportional to 68,339.10, 102,464.10 and 61,340.70

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Solution

The fourth proportional to 68,339.10, 102,464.10 and 61,340.70 is: 91,971.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,339.10 : 102,464.10 = 61,340.70 : x
  2. Step 2: Convert to fraction form
    68,339.10/102,464.10 = 61,340.70/x
  3. Step 3: Cross multiply
    68,339.10x = 102,464.10 × 61,340.70
  4. Step 4: Simplify right side
    68,339.10x = 6,285,219,618.87
  5. Step 5: Solve for x
    x = 6,285,219,618.87/68,339.10
  6. Step 6: Final answer
    x = 91,971.06

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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.