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Finding the Fourth Proportional to 136,578.64, 188,490.90 and 82,877.26

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Solution

The fourth proportional to 136,578.64, 188,490.90 and 82,877.26 is: 114,378.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,578.64 : 188,490.90 = 82,877.26 : x
  2. Step 2: Convert to fraction form
    136,578.64/188,490.90 = 82,877.26/x
  3. Step 3: Cross multiply
    136,578.64x = 188,490.90 × 82,877.26
  4. Step 4: Simplify right side
    136,578.64x = 15,621,609,326.93
  5. Step 5: Solve for x
    x = 15,621,609,326.93/136,578.64
  6. Step 6: Final answer
    x = 114,378.13

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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.