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Finding the Fourth Proportional to 135,506.63, 186,999.15 and 82,514.63

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Solution

The fourth proportional to 135,506.63, 186,999.15 and 82,514.63 is: 113,870.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,506.63 : 186,999.15 = 82,514.63 : x
  2. Step 2: Convert to fraction form
    135,506.63/186,999.15 = 82,514.63/x
  3. Step 3: Cross multiply
    135,506.63x = 186,999.15 × 82,514.63
  4. Step 4: Simplify right side
    135,506.63x = 15,430,164,737.57
  5. Step 5: Solve for x
    x = 15,430,164,737.57/135,506.63
  6. Step 6: Final answer
    x = 113,870.19

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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.