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Finding the Fourth Proportional to 205,404.60, 308,106.90 and 138,919.80

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Solution

The fourth proportional to 205,404.60, 308,106.90 and 138,919.80 is: 208,379.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,404.60 : 308,106.90 = 138,919.80 : x
  2. Step 2: Convert to fraction form
    205,404.60/308,106.90 = 138,919.80/x
  3. Step 3: Cross multiply
    205,404.60x = 308,106.90 × 138,919.80
  4. Step 4: Simplify right side
    205,404.60x = 42,802,148,926.62
  5. Step 5: Solve for x
    x = 42,802,148,926.62/205,404.60
  6. Step 6: Final answer
    x = 208,379.70

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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.