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Finding the Fourth Proportional to 138,924.84, 208,396.62 and 68,785.32

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Solution

The fourth proportional to 138,924.84, 208,396.62 and 68,785.32 is: 103,182.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,924.84 : 208,396.62 = 68,785.32 : x
  2. Step 2: Convert to fraction form
    138,924.84/208,396.62 = 68,785.32/x
  3. Step 3: Cross multiply
    138,924.84x = 208,396.62 × 68,785.32
  4. Step 4: Simplify right side
    138,924.84x = 14,334,628,193.62
  5. Step 5: Solve for x
    x = 14,334,628,193.62/138,924.84
  6. Step 6: Final answer
    x = 103,182.61

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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.