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Finding the Fourth Proportional to 69,112.12, 103,653.14 and 26,978.64

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Solution

The fourth proportional to 69,112.12, 103,653.14 and 26,978.64 is: 40,462.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,112.12 : 103,653.14 = 26,978.64 : x
  2. Step 2: Convert to fraction form
    69,112.12/103,653.14 = 26,978.64/x
  3. Step 3: Cross multiply
    69,112.12x = 103,653.14 × 26,978.64
  4. Step 4: Simplify right side
    69,112.12x = 2,796,420,748.93
  5. Step 5: Solve for x
    x = 2,796,420,748.93/69,112.12
  6. Step 6: Final answer
    x = 40,462.09

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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.