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Finding the Fourth Proportional to 136,214.80, 187,981.80 and 82,469.44

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Solution

The fourth proportional to 136,214.80, 187,981.80 and 82,469.44 is: 113,811.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,214.80 : 187,981.80 = 82,469.44 : x
  2. Step 2: Convert to fraction form
    136,214.80/187,981.80 = 82,469.44/x
  3. Step 3: Cross multiply
    136,214.80x = 187,981.80 × 82,469.44
  4. Step 4: Simplify right side
    136,214.80x = 15,502,753,776.19
  5. Step 5: Solve for x
    x = 15,502,753,776.19/136,214.80
  6. Step 6: Final answer
    x = 113,811.08

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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.