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Finding the Fourth Proportional to 186,756.72, 280,021.92 and 74,454

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Solution

The fourth proportional to 186,756.72, 280,021.92 and 74,454 is: 111,635.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,756.72 : 280,021.92 = 74,454 : x
  2. Step 2: Convert to fraction form
    186,756.72/280,021.92 = 74,454/x
  3. Step 3: Cross multiply
    186,756.72x = 280,021.92 × 74,454
  4. Step 4: Simplify right side
    186,756.72x = 20,848,752,031.68
  5. Step 5: Solve for x
    x = 20,848,752,031.68/186,756.72
  6. Step 6: Final answer
    x = 111,635.89

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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.