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Finding the Fourth Proportional to 205,372.01, 308,034.65 and 55,623.98

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Solution

The fourth proportional to 205,372.01, 308,034.65 and 55,623.98 is: 83,429.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,372.01 : 308,034.65 = 55,623.98 : x
  2. Step 2: Convert to fraction form
    205,372.01/308,034.65 = 55,623.98/x
  3. Step 3: Cross multiply
    205,372.01x = 308,034.65 × 55,623.98
  4. Step 4: Simplify right side
    205,372.01x = 17,134,114,120.05
  5. Step 5: Solve for x
    x = 17,134,114,120.05/205,372.01
  6. Step 6: Final answer
    x = 83,429.65

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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.