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Finding the Fourth Proportional to 135,780, 187,376.40 and 82,788

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Solution

The fourth proportional to 135,780, 187,376.40 and 82,788 is: 114,247.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,780 : 187,376.40 = 82,788 : x
  2. Step 2: Convert to fraction form
    135,780/187,376.40 = 82,788/x
  3. Step 3: Cross multiply
    135,780x = 187,376.40 × 82,788
  4. Step 4: Simplify right side
    135,780x = 15,512,517,403.20
  5. Step 5: Solve for x
    x = 15,512,517,403.20/135,780
  6. Step 6: Final answer
    x = 114,247.44

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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.