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Finding the Fourth Proportional to 257,067.70, 385,458.51 and 79,525.30

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Solution

The fourth proportional to 257,067.70, 385,458.51 and 79,525.30 is: 119,243.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,067.70 : 385,458.51 = 79,525.30 : x
  2. Step 2: Convert to fraction form
    257,067.70/385,458.51 = 79,525.30/x
  3. Step 3: Cross multiply
    257,067.70x = 385,458.51 × 79,525.30
  4. Step 4: Simplify right side
    257,067.70x = 30,653,703,645.30
  5. Step 5: Solve for x
    x = 30,653,703,645.30/257,067.70
  6. Step 6: Final answer
    x = 119,243.70

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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.