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Finding the Fourth Proportional to 51,203.70, 76,854.15 and 31,520.70

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Solution

The fourth proportional to 51,203.70, 76,854.15 and 31,520.70 is: 47,310.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,203.70 : 76,854.15 = 31,520.70 : x
  2. Step 2: Convert to fraction form
    51,203.70/76,854.15 = 31,520.70/x
  3. Step 3: Cross multiply
    51,203.70x = 76,854.15 × 31,520.70
  4. Step 4: Simplify right side
    51,203.70x = 2,422,496,605.91
  5. Step 5: Solve for x
    x = 2,422,496,605.91/51,203.70
  6. Step 6: Final answer
    x = 47,310.97

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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.