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Finding the Fourth Proportional to 278,016, 417,100.80 and 81,024

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Solution

The fourth proportional to 278,016, 417,100.80 and 81,024 is: 121,558.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,016 : 417,100.80 = 81,024 : x
  2. Step 2: Convert to fraction form
    278,016/417,100.80 = 81,024/x
  3. Step 3: Cross multiply
    278,016x = 417,100.80 × 81,024
  4. Step 4: Simplify right side
    278,016x = 33,795,175,219.20
  5. Step 5: Solve for x
    x = 33,795,175,219.20/278,016
  6. Step 6: Final answer
    x = 121,558.38

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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.