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Finding the Fourth Proportional to 257,239.80, 385,874.28 and 79,772.04

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Solution

The fourth proportional to 257,239.80, 385,874.28 and 79,772.04 is: 119,662.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,239.80 : 385,874.28 = 79,772.04 : x
  2. Step 2: Convert to fraction form
    257,239.80/385,874.28 = 79,772.04/x
  3. Step 3: Cross multiply
    257,239.80x = 385,874.28 × 79,772.04
  4. Step 4: Simplify right side
    257,239.80x = 30,781,978,499.13
  5. Step 5: Solve for x
    x = 30,781,978,499.13/257,239.80
  6. Step 6: Final answer
    x = 119,662.58

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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.