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Finding the Fourth Proportional to 257,243.86, 385,880.38 and 79,776.10

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Solution

The fourth proportional to 257,243.86, 385,880.38 and 79,776.10 is: 119,668.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,243.86 : 385,880.38 = 79,776.10 : x
  2. Step 2: Convert to fraction form
    257,243.86/385,880.38 = 79,776.10/x
  3. Step 3: Cross multiply
    257,243.86x = 385,880.38 × 79,776.10
  4. Step 4: Simplify right side
    257,243.86x = 30,784,031,782.92
  5. Step 5: Solve for x
    x = 30,784,031,782.92/257,243.86
  6. Step 6: Final answer
    x = 119,668.67

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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.