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Finding the Fourth Proportional to 48,669.81, 73,012.14 and 20,589.90

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Solution

The fourth proportional to 48,669.81, 73,012.14 and 20,589.90 is: 30,887.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,669.81 : 73,012.14 = 20,589.90 : x
  2. Step 2: Convert to fraction form
    48,669.81/73,012.14 = 20,589.90/x
  3. Step 3: Cross multiply
    48,669.81x = 73,012.14 × 20,589.90
  4. Step 4: Simplify right side
    48,669.81x = 1,503,312,661.39
  5. Step 5: Solve for x
    x = 1,503,312,661.39/48,669.81
  6. Step 6: Final answer
    x = 30,887.99

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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.