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Finding the Fourth Proportional to 136,080, 187,796.80 and 75,651.64

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Solution

The fourth proportional to 136,080, 187,796.80 and 75,651.64 is: 104,402.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,080 : 187,796.80 = 75,651.64 : x
  2. Step 2: Convert to fraction form
    136,080/187,796.80 = 75,651.64/x
  3. Step 3: Cross multiply
    136,080x = 187,796.80 × 75,651.64
  4. Step 4: Simplify right side
    136,080x = 14,207,135,906.75
  5. Step 5: Solve for x
    x = 14,207,135,906.75/136,080
  6. Step 6: Final answer
    x = 104,402.82

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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.