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Finding the Fourth Proportional to 223,986.64, 309,101.52 and 123,384.64

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Solution

The fourth proportional to 223,986.64, 309,101.52 and 123,384.64 is: 170,270.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,986.64 : 309,101.52 = 123,384.64 : x
  2. Step 2: Convert to fraction form
    223,986.64/309,101.52 = 123,384.64/x
  3. Step 3: Cross multiply
    223,986.64x = 309,101.52 × 123,384.64
  4. Step 4: Simplify right side
    223,986.64x = 38,138,379,768.65
  5. Step 5: Solve for x
    x = 38,138,379,768.65/223,986.64
  6. Step 6: Final answer
    x = 170,270.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.