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Finding the Fourth Proportional to 136,791.86, 188,767.80 and 85,832.06

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Solution

The fourth proportional to 136,791.86, 188,767.80 and 85,832.06 is: 118,445.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,791.86 : 188,767.80 = 85,832.06 : x
  2. Step 2: Convert to fraction form
    136,791.86/188,767.80 = 85,832.06/x
  3. Step 3: Cross multiply
    136,791.86x = 188,767.80 × 85,832.06
  4. Step 4: Simplify right side
    136,791.86x = 16,202,329,135.67
  5. Step 5: Solve for x
    x = 16,202,329,135.67/136,791.86
  6. Step 6: Final answer
    x = 118,445.13

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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.