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Finding the Fourth Proportional to 51,874.60, 77,850.30 and 20,732.20

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Solution

The fourth proportional to 51,874.60, 77,850.30 and 20,732.20 is: 31,113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,874.60 : 77,850.30 = 20,732.20 : x
  2. Step 2: Convert to fraction form
    51,874.60/77,850.30 = 20,732.20/x
  3. Step 3: Cross multiply
    51,874.60x = 77,850.30 × 20,732.20
  4. Step 4: Simplify right side
    51,874.60x = 1,614,007,989.66
  5. Step 5: Solve for x
    x = 1,614,007,989.66/51,874.60
  6. Step 6: Final answer
    x = 31,113.65

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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.