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Finding the Fourth Proportional to 132,978.80, 183,542.24 and 76,422.96

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Solution

The fourth proportional to 132,978.80, 183,542.24 and 76,422.96 is: 105,481.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,978.80 : 183,542.24 = 76,422.96 : x
  2. Step 2: Convert to fraction form
    132,978.80/183,542.24 = 76,422.96/x
  3. Step 3: Cross multiply
    132,978.80x = 183,542.24 × 76,422.96
  4. Step 4: Simplify right side
    132,978.80x = 14,026,841,265.83
  5. Step 5: Solve for x
    x = 14,026,841,265.83/132,978.80
  6. Step 6: Final answer
    x = 105,481.79

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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.