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Finding the Fourth Proportional to 278,158.98, 417,129.26 and 98,206

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Solution

The fourth proportional to 278,158.98, 417,129.26 and 98,206 is: 147,270.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,158.98 : 417,129.26 = 98,206 : x
  2. Step 2: Convert to fraction form
    278,158.98/417,129.26 = 98,206/x
  3. Step 3: Cross multiply
    278,158.98x = 417,129.26 × 98,206
  4. Step 4: Simplify right side
    278,158.98x = 40,964,596,107.56
  5. Step 5: Solve for x
    x = 40,964,596,107.56/278,158.98
  6. Step 6: Final answer
    x = 147,270.44

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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.