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Finding the Fourth Proportional to 154,074.80, 231,112.20 and 84,090.80

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Solution

The fourth proportional to 154,074.80, 231,112.20 and 84,090.80 is: 126,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,074.80 : 231,112.20 = 84,090.80 : x
  2. Step 2: Convert to fraction form
    154,074.80/231,112.20 = 84,090.80/x
  3. Step 3: Cross multiply
    154,074.80x = 231,112.20 × 84,090.80
  4. Step 4: Simplify right side
    154,074.80x = 19,434,409,787.76
  5. Step 5: Solve for x
    x = 19,434,409,787.76/154,074.80
  6. Step 6: Final answer
    x = 126,136.20

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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.