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Finding the Fourth Proportional to 103,900, 143,382 and 59,188

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Solution

The fourth proportional to 103,900, 143,382 and 59,188 is: 81,679.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,900 : 143,382 = 59,188 : x
  2. Step 2: Convert to fraction form
    103,900/143,382 = 59,188/x
  3. Step 3: Cross multiply
    103,900x = 143,382 × 59,188
  4. Step 4: Simplify right side
    103,900x = 8,486,493,816
  5. Step 5: Solve for x
    x = 8,486,493,816/103,900
  6. Step 6: Final answer
    x = 81,679.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.