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Finding the Fourth Proportional to 76,411.62, 114,604.88 and 20,255.20

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Solution

The fourth proportional to 76,411.62, 114,604.88 and 20,255.20 is: 30,379.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,411.62 : 114,604.88 = 20,255.20 : x
  2. Step 2: Convert to fraction form
    76,411.62/114,604.88 = 20,255.20/x
  3. Step 3: Cross multiply
    76,411.62x = 114,604.88 × 20,255.20
  4. Step 4: Simplify right side
    76,411.62x = 2,321,344,377.59
  5. Step 5: Solve for x
    x = 2,321,344,377.59/76,411.62
  6. Step 6: Final answer
    x = 30,379.47

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1.5x scale

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.