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Finding the Fourth Proportional to 51,306.60, 76,968 and 21,724.62

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Solution

The fourth proportional to 51,306.60, 76,968 and 21,724.62 is: 32,590.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,306.60 : 76,968 = 21,724.62 : x
  2. Step 2: Convert to fraction form
    51,306.60/76,968 = 21,724.62/x
  3. Step 3: Cross multiply
    51,306.60x = 76,968 × 21,724.62
  4. Step 4: Simplify right side
    51,306.60x = 1,672,100,552.16
  5. Step 5: Solve for x
    x = 1,672,100,552.16/51,306.60
  6. Step 6: Final answer
    x = 32,590.36

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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.