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Finding the Fourth Proportional to 51,817.32, 77,730.84 and 20,655

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Solution

The fourth proportional to 51,817.32, 77,730.84 and 20,655 is: 30,984.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,817.32 : 77,730.84 = 20,655 : x
  2. Step 2: Convert to fraction form
    51,817.32/77,730.84 = 20,655/x
  3. Step 3: Cross multiply
    51,817.32x = 77,730.84 × 20,655
  4. Step 4: Simplify right side
    51,817.32x = 1,605,530,500.20
  5. Step 5: Solve for x
    x = 1,605,530,500.20/51,817.32
  6. Step 6: Final answer
    x = 30,984.44

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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.