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Finding the Fourth Proportional to 136,609.80, 204,914.70 and 83,465.70

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Solution

The fourth proportional to 136,609.80, 204,914.70 and 83,465.70 is: 125,198.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,609.80 : 204,914.70 = 83,465.70 : x
  2. Step 2: Convert to fraction form
    136,609.80/204,914.70 = 83,465.70/x
  3. Step 3: Cross multiply
    136,609.80x = 204,914.70 × 83,465.70
  4. Step 4: Simplify right side
    136,609.80x = 17,103,348,875.79
  5. Step 5: Solve for x
    x = 17,103,348,875.79/136,609.80
  6. Step 6: Final answer
    x = 125,198.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.