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Finding the Fourth Proportional to 67,849.71, 101,774.83 and 28,379.14

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Solution

The fourth proportional to 67,849.71, 101,774.83 and 28,379.14 is: 42,568.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,849.71 : 101,774.83 = 28,379.14 : x
  2. Step 2: Convert to fraction form
    67,849.71/101,774.83 = 28,379.14/x
  3. Step 3: Cross multiply
    67,849.71x = 101,774.83 × 28,379.14
  4. Step 4: Simplify right side
    67,849.71x = 2,888,281,975.96
  5. Step 5: Solve for x
    x = 2,888,281,975.96/67,849.71
  6. Step 6: Final answer
    x = 42,568.82

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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.