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Finding the Fourth Proportional to 75,419.44, 113,143.75 and 28,668.67

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Solution

The fourth proportional to 75,419.44, 113,143.75 and 28,668.67 is: 43,008.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,419.44 : 113,143.75 = 28,668.67 : x
  2. Step 2: Convert to fraction form
    75,419.44/113,143.75 = 28,668.67/x
  3. Step 3: Cross multiply
    75,419.44x = 113,143.75 × 28,668.67
  4. Step 4: Simplify right side
    75,419.44x = 3,243,680,476.78
  5. Step 5: Solve for x
    x = 3,243,680,476.78/75,419.44
  6. Step 6: Final answer
    x = 43,008.55

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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.