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Finding the Fourth Proportional to 205,519.70, 308,206.65 and 72,404.30

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Solution

The fourth proportional to 205,519.70, 308,206.65 and 72,404.30 is: 108,580.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,519.70 : 308,206.65 = 72,404.30 : x
  2. Step 2: Convert to fraction form
    205,519.70/308,206.65 = 72,404.30/x
  3. Step 3: Cross multiply
    205,519.70x = 308,206.65 × 72,404.30
  4. Step 4: Simplify right side
    205,519.70x = 22,315,486,748.60
  5. Step 5: Solve for x
    x = 22,315,486,748.60/205,519.70
  6. Step 6: Final answer
    x = 108,580.77

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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.