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Finding the Fourth Proportional to 76,654.60, 105,782.22 and 43,120.60

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Solution

The fourth proportional to 76,654.60, 105,782.22 and 43,120.60 is: 59,505.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,654.60 : 105,782.22 = 43,120.60 : x
  2. Step 2: Convert to fraction form
    76,654.60/105,782.22 = 43,120.60/x
  3. Step 3: Cross multiply
    76,654.60x = 105,782.22 × 43,120.60
  4. Step 4: Simplify right side
    76,654.60x = 4,561,392,795.73
  5. Step 5: Solve for x
    x = 4,561,392,795.73/76,654.60
  6. Step 6: Final answer
    x = 59,505.79

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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.