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Finding the Fourth Proportional to 136,885.92, 188,794.12 and 83,169.40

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Solution

The fourth proportional to 136,885.92, 188,794.12 and 83,169.40 is: 114,707.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,885.92 : 188,794.12 = 83,169.40 : x
  2. Step 2: Convert to fraction form
    136,885.92/188,794.12 = 83,169.40/x
  3. Step 3: Cross multiply
    136,885.92x = 188,794.12 × 83,169.40
  4. Step 4: Simplify right side
    136,885.92x = 15,701,893,683.93
  5. Step 5: Solve for x
    x = 15,701,893,683.93/136,885.92
  6. Step 6: Final answer
    x = 114,707.88

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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.