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Finding the Fourth Proportional to 257,200.36, 385,860.38 and 79,697.96

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Solution

The fourth proportional to 257,200.36, 385,860.38 and 79,697.96 is: 119,565.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,200.36 : 385,860.38 = 79,697.96 : x
  2. Step 2: Convert to fraction form
    257,200.36/385,860.38 = 79,697.96/x
  3. Step 3: Cross multiply
    257,200.36x = 385,860.38 × 79,697.96
  4. Step 4: Simplify right side
    257,200.36x = 30,752,285,130.82
  5. Step 5: Solve for x
    x = 30,752,285,130.82/257,200.36
  6. Step 6: Final answer
    x = 119,565.48

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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.