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Finding the Fourth Proportional to 182,978.56, 274,599.04 and 77,871.36

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Solution

The fourth proportional to 182,978.56, 274,599.04 and 77,871.36 is: 116,862.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,978.56 : 274,599.04 = 77,871.36 : x
  2. Step 2: Convert to fraction form
    182,978.56/274,599.04 = 77,871.36/x
  3. Step 3: Cross multiply
    182,978.56x = 274,599.04 × 77,871.36
  4. Step 4: Simplify right side
    182,978.56x = 21,383,400,699.49
  5. Step 5: Solve for x
    x = 21,383,400,699.49/182,978.56
  6. Step 6: Final answer
    x = 116,862.88

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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.