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Finding the Fourth Proportional to 73,135.86, 109,724.44 and 20,545.80

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Solution

The fourth proportional to 73,135.86, 109,724.44 and 20,545.80 is: 30,824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,135.86 : 109,724.44 = 20,545.80 : x
  2. Step 2: Convert to fraction form
    73,135.86/109,724.44 = 20,545.80/x
  3. Step 3: Cross multiply
    73,135.86x = 109,724.44 × 20,545.80
  4. Step 4: Simplify right side
    73,135.86x = 2,254,376,399.35
  5. Step 5: Solve for x
    x = 2,254,376,399.35/73,135.86
  6. Step 6: Final answer
    x = 30,824.50

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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.