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Finding the Fourth Proportional to 126,157.60, 188,986.80 and 81,815.20

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Solution

The fourth proportional to 126,157.60, 188,986.80 and 81,815.20 is: 122,560.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,157.60 : 188,986.80 = 81,815.20 : x
  2. Step 2: Convert to fraction form
    126,157.60/188,986.80 = 81,815.20/x
  3. Step 3: Cross multiply
    126,157.60x = 188,986.80 × 81,815.20
  4. Step 4: Simplify right side
    126,157.60x = 15,461,992,839.36
  5. Step 5: Solve for x
    x = 15,461,992,839.36/126,157.60
  6. Step 6: Final answer
    x = 122,560.93

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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.