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Finding the Fourth Proportional to 68,536.72, 102,785.64 and 26,974

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Solution

The fourth proportional to 68,536.72, 102,785.64 and 26,974 is: 40,453.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,536.72 : 102,785.64 = 26,974 : x
  2. Step 2: Convert to fraction form
    68,536.72/102,785.64 = 26,974/x
  3. Step 3: Cross multiply
    68,536.72x = 102,785.64 × 26,974
  4. Step 4: Simplify right side
    68,536.72x = 2,772,539,853.36
  5. Step 5: Solve for x
    x = 2,772,539,853.36/68,536.72
  6. Step 6: Final answer
    x = 40,453.35

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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.