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Finding the Fourth Proportional to 278,085.52, 417,160.68 and 100,676.08

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Solution

The fourth proportional to 278,085.52, 417,160.68 and 100,676.08 is: 151,025.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,085.52 : 417,160.68 = 100,676.08 : x
  2. Step 2: Convert to fraction form
    278,085.52/417,160.68 = 100,676.08/x
  3. Step 3: Cross multiply
    278,085.52x = 417,160.68 × 100,676.08
  4. Step 4: Simplify right side
    278,085.52x = 41,998,101,992.53
  5. Step 5: Solve for x
    x = 41,998,101,992.53/278,085.52
  6. Step 6: Final answer
    x = 151,025.85

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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.