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Finding the Fourth Proportional to 253,668.05, 380,390.41 and 76,133.53

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Solution

The fourth proportional to 253,668.05, 380,390.41 and 76,133.53 is: 114,166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,668.05 : 380,390.41 = 76,133.53 : x
  2. Step 2: Convert to fraction form
    253,668.05/380,390.41 = 76,133.53/x
  3. Step 3: Cross multiply
    253,668.05x = 380,390.41 × 76,133.53
  4. Step 4: Simplify right side
    253,668.05x = 28,960,464,691.45
  5. Step 5: Solve for x
    x = 28,960,464,691.45/253,668.05
  6. Step 6: Final answer
    x = 114,166.78

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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.