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Finding the Fourth Proportional to 51,120.76, 76,655.21 and 23,395

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Solution

The fourth proportional to 51,120.76, 76,655.21 and 23,395 is: 35,080.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,120.76 : 76,655.21 = 23,395 : x
  2. Step 2: Convert to fraction form
    51,120.76/76,655.21 = 23,395/x
  3. Step 3: Cross multiply
    51,120.76x = 76,655.21 × 23,395
  4. Step 4: Simplify right side
    51,120.76x = 1,793,348,520.98
  5. Step 5: Solve for x
    x = 1,793,348,520.98/51,120.76
  6. Step 6: Final answer
    x = 35,080.63

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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.