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Finding the Fourth Proportional to 136,161, 187,903.80 and 75,736.08

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Solution

The fourth proportional to 136,161, 187,903.80 and 75,736.08 is: 104,516.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,161 : 187,903.80 = 75,736.08 : x
  2. Step 2: Convert to fraction form
    136,161/187,903.80 = 75,736.08/x
  3. Step 3: Cross multiply
    136,161x = 187,903.80 × 75,736.08
  4. Step 4: Simplify right side
    136,161x = 14,231,097,229.10
  5. Step 5: Solve for x
    x = 14,231,097,229.10/136,161
  6. Step 6: Final answer
    x = 104,516.69

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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.