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Finding the Fourth Proportional to 205,693, 308,563.98 and 72,545.64

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Solution

The fourth proportional to 205,693, 308,563.98 and 72,545.64 is: 108,827.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,693 : 308,563.98 = 72,545.64 : x
  2. Step 2: Convert to fraction form
    205,693/308,563.98 = 72,545.64/x
  3. Step 3: Cross multiply
    205,693x = 308,563.98 × 72,545.64
  4. Step 4: Simplify right side
    205,693x = 22,384,971,410.05
  5. Step 5: Solve for x
    x = 22,384,971,410.05/205,693
  6. Step 6: Final answer
    x = 108,827.09

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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.