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Finding the Fourth Proportional to 278,847.13, 418,269.84 and 79,167.65

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Solution

The fourth proportional to 278,847.13, 418,269.84 and 79,167.65 is: 118,751.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,847.13 : 418,269.84 = 79,167.65 : x
  2. Step 2: Convert to fraction form
    278,847.13/418,269.84 = 79,167.65/x
  3. Step 3: Cross multiply
    278,847.13x = 418,269.84 × 79,167.65
  4. Step 4: Simplify right side
    278,847.13x = 33,113,442,051.91
  5. Step 5: Solve for x
    x = 33,113,442,051.91/278,847.13
  6. Step 6: Final answer
    x = 118,751.24

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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.