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Finding the Fourth Proportional to 257,204.73, 385,666.16 and 79,662.45

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Solution

The fourth proportional to 257,204.73, 385,666.16 and 79,662.45 is: 119,450.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,204.73 : 385,666.16 = 79,662.45 : x
  2. Step 2: Convert to fraction form
    257,204.73/385,666.16 = 79,662.45/x
  3. Step 3: Cross multiply
    257,204.73x = 385,666.16 × 79,662.45
  4. Step 4: Simplify right side
    257,204.73x = 30,723,110,789.38
  5. Step 5: Solve for x
    x = 30,723,110,789.38/257,204.73
  6. Step 6: Final answer
    x = 119,450.02

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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.