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Finding the Fourth Proportional to 49,821.81, 74,750.53 and 21,346.80

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Solution

The fourth proportional to 49,821.81, 74,750.53 and 21,346.80 is: 32,027.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,821.81 : 74,750.53 = 21,346.80 : x
  2. Step 2: Convert to fraction form
    49,821.81/74,750.53 = 21,346.80/x
  3. Step 3: Cross multiply
    49,821.81x = 74,750.53 × 21,346.80
  4. Step 4: Simplify right side
    49,821.81x = 1,595,684,613.80
  5. Step 5: Solve for x
    x = 1,595,684,613.80/49,821.81
  6. Step 6: Final answer
    x = 32,027.83

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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.