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Finding the Fourth Proportional to 205,429.80, 308,144.71 and 55,670.09

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Solution

The fourth proportional to 205,429.80, 308,144.71 and 55,670.09 is: 83,505.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,429.80 : 308,144.71 = 55,670.09 : x
  2. Step 2: Convert to fraction form
    205,429.80/308,144.71 = 55,670.09/x
  3. Step 3: Cross multiply
    205,429.80x = 308,144.71 × 55,670.09
  4. Step 4: Simplify right side
    205,429.80x = 17,154,441,919.65
  5. Step 5: Solve for x
    x = 17,154,441,919.65/205,429.80
  6. Step 6: Final answer
    x = 83,505.13

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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.