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Finding the Fourth Proportional to 137,892.78, 190,286.01 and 84,267.54

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Solution

The fourth proportional to 137,892.78, 190,286.01 and 84,267.54 is: 116,285.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,892.78 : 190,286.01 = 84,267.54 : x
  2. Step 2: Convert to fraction form
    137,892.78/190,286.01 = 84,267.54/x
  3. Step 3: Cross multiply
    137,892.78x = 190,286.01 × 84,267.54
  4. Step 4: Simplify right side
    137,892.78x = 16,034,933,959.12
  5. Step 5: Solve for x
    x = 16,034,933,959.12/137,892.78
  6. Step 6: Final answer
    x = 116,285.52

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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.