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Finding the Fourth Proportional to 138,458.73, 190,978.17 and 84,770.27

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Solution

The fourth proportional to 138,458.73, 190,978.17 and 84,770.27 is: 116,924.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,458.73 : 190,978.17 = 84,770.27 : x
  2. Step 2: Convert to fraction form
    138,458.73/190,978.17 = 84,770.27/x
  3. Step 3: Cross multiply
    138,458.73x = 190,978.17 × 84,770.27
  4. Step 4: Simplify right side
    138,458.73x = 16,189,270,080.12
  5. Step 5: Solve for x
    x = 16,189,270,080.12/138,458.73
  6. Step 6: Final answer
    x = 116,924.88

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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.