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Finding the Fourth Proportional to 51,266.40, 76,899.60 and 31,480.80

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Solution

The fourth proportional to 51,266.40, 76,899.60 and 31,480.80 is: 47,221.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,266.40 : 76,899.60 = 31,480.80 : x
  2. Step 2: Convert to fraction form
    51,266.40/76,899.60 = 31,480.80/x
  3. Step 3: Cross multiply
    51,266.40x = 76,899.60 × 31,480.80
  4. Step 4: Simplify right side
    51,266.40x = 2,420,860,927.68
  5. Step 5: Solve for x
    x = 2,420,860,927.68/51,266.40
  6. Step 6: Final answer
    x = 47,221.20

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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.