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Finding the Fourth Proportional to 79,454.96, 119,182.44 and 20,288.50

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Solution

The fourth proportional to 79,454.96, 119,182.44 and 20,288.50 is: 30,432.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,454.96 : 119,182.44 = 20,288.50 : x
  2. Step 2: Convert to fraction form
    79,454.96/119,182.44 = 20,288.50/x
  3. Step 3: Cross multiply
    79,454.96x = 119,182.44 × 20,288.50
  4. Step 4: Simplify right side
    79,454.96x = 2,418,032,933.94
  5. Step 5: Solve for x
    x = 2,418,032,933.94/79,454.96
  6. Step 6: Final answer
    x = 30,432.75

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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.