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Finding the Fourth Proportional to 270,637.80, 405,956.70 and 83,706.60

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Solution

The fourth proportional to 270,637.80, 405,956.70 and 83,706.60 is: 125,559.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,637.80 : 405,956.70 = 83,706.60 : x
  2. Step 2: Convert to fraction form
    270,637.80/405,956.70 = 83,706.60/x
  3. Step 3: Cross multiply
    270,637.80x = 405,956.70 × 83,706.60
  4. Step 4: Simplify right side
    270,637.80x = 33,981,255,104.22
  5. Step 5: Solve for x
    x = 33,981,255,104.22/270,637.80
  6. Step 6: Final answer
    x = 125,559.90

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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.