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Finding the Fourth Proportional to 51,202.70, 76,814.85 and 21,605.30

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Solution

The fourth proportional to 51,202.70, 76,814.85 and 21,605.30 is: 32,412.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,202.70 : 76,814.85 = 21,605.30 : x
  2. Step 2: Convert to fraction form
    51,202.70/76,814.85 = 21,605.30/x
  3. Step 3: Cross multiply
    51,202.70x = 76,814.85 × 21,605.30
  4. Step 4: Simplify right side
    51,202.70x = 1,659,607,878.71
  5. Step 5: Solve for x
    x = 1,659,607,878.71/51,202.70
  6. Step 6: Final answer
    x = 32,412.51

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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.