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Finding the Fourth Proportional to 43,821, 65,737.98 and 20,434.68

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Solution

The fourth proportional to 43,821, 65,737.98 and 20,434.68 is: 30,655.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,821 : 65,737.98 = 20,434.68 : x
  2. Step 2: Convert to fraction form
    43,821/65,737.98 = 20,434.68/x
  3. Step 3: Cross multiply
    43,821x = 65,737.98 × 20,434.68
  4. Step 4: Simplify right side
    43,821x = 1,343,334,585.15
  5. Step 5: Solve for x
    x = 1,343,334,585.15/43,821
  6. Step 6: Final answer
    x = 30,655.04

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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.