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Finding the Fourth Proportional to 205,816.86, 308,737.44 and 79,457.94

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Solution

The fourth proportional to 205,816.86, 308,737.44 and 79,457.94 is: 119,191.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,816.86 : 308,737.44 = 79,457.94 : x
  2. Step 2: Convert to fraction form
    205,816.86/308,737.44 = 79,457.94/x
  3. Step 3: Cross multiply
    205,816.86x = 308,737.44 × 79,457.94
  4. Step 4: Simplify right side
    205,816.86x = 24,531,640,983.27
  5. Step 5: Solve for x
    x = 24,531,640,983.27/205,816.86
  6. Step 6: Final answer
    x = 119,191.60

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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.