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Finding the Fourth Proportional to 136,659.96, 188,678.40 and 85,742.40

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Solution

The fourth proportional to 136,659.96, 188,678.40 and 85,742.40 is: 118,379.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,659.96 : 188,678.40 = 85,742.40 : x
  2. Step 2: Convert to fraction form
    136,659.96/188,678.40 = 85,742.40/x
  3. Step 3: Cross multiply
    136,659.96x = 188,678.40 × 85,742.40
  4. Step 4: Simplify right side
    136,659.96x = 16,177,738,844.16
  5. Step 5: Solve for x
    x = 16,177,738,844.16/136,659.96
  6. Step 6: Final answer
    x = 118,379.51

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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.