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Finding the Fourth Proportional to 278,017, 417,102.30 and 81,025

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Solution

The fourth proportional to 278,017, 417,102.30 and 81,025 is: 121,559.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,017 : 417,102.30 = 81,025 : x
  2. Step 2: Convert to fraction form
    278,017/417,102.30 = 81,025/x
  3. Step 3: Cross multiply
    278,017x = 417,102.30 × 81,025
  4. Step 4: Simplify right side
    278,017x = 33,795,713,857.50
  5. Step 5: Solve for x
    x = 33,795,713,857.50/278,017
  6. Step 6: Final answer
    x = 121,559.88

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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.