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Finding the Fourth Proportional to 76,411.50, 114,604.66 and 20,255.10

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Solution

The fourth proportional to 76,411.50, 114,604.66 and 20,255.10 is: 30,379.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,411.50 : 114,604.66 = 20,255.10 : x
  2. Step 2: Convert to fraction form
    76,411.50/114,604.66 = 20,255.10/x
  3. Step 3: Cross multiply
    76,411.50x = 114,604.66 × 20,255.10
  4. Step 4: Simplify right side
    76,411.50x = 2,321,328,848.77
  5. Step 5: Solve for x
    x = 2,321,328,848.77/76,411.50
  6. Step 6: Final answer
    x = 30,379.31

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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.