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Finding the Fourth Proportional to 257,132.61, 385,760.48 and 107,289.77

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Solution

The fourth proportional to 257,132.61, 385,760.48 and 107,289.77 is: 160,960.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,132.61 : 385,760.48 = 107,289.77 : x
  2. Step 2: Convert to fraction form
    257,132.61/385,760.48 = 107,289.77/x
  3. Step 3: Cross multiply
    257,132.61x = 385,760.48 × 107,289.77
  4. Step 4: Simplify right side
    257,132.61x = 41,388,150,709.04
  5. Step 5: Solve for x
    x = 41,388,150,709.04/257,132.61
  6. Step 6: Final answer
    x = 160,960.33

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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.