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Finding the Fourth Proportional to 51,205.80, 76,808.70 and 27,820.20

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Solution

The fourth proportional to 51,205.80, 76,808.70 and 27,820.20 is: 41,730.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,205.80 : 76,808.70 = 27,820.20 : x
  2. Step 2: Convert to fraction form
    51,205.80/76,808.70 = 27,820.20/x
  3. Step 3: Cross multiply
    51,205.80x = 76,808.70 × 27,820.20
  4. Step 4: Simplify right side
    51,205.80x = 2,136,833,395.74
  5. Step 5: Solve for x
    x = 2,136,833,395.74/51,205.80
  6. Step 6: Final answer
    x = 41,730.30

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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.