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Finding the Fourth Proportional to 279,955.67, 420,107.64 and 113,743.67

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Solution

The fourth proportional to 279,955.67, 420,107.64 and 113,743.67 is: 170,686.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,955.67 : 420,107.64 = 113,743.67 : x
  2. Step 2: Convert to fraction form
    279,955.67/420,107.64 = 113,743.67/x
  3. Step 3: Cross multiply
    279,955.67x = 420,107.64 × 113,743.67
  4. Step 4: Simplify right side
    279,955.67x = 47,784,582,668.10
  5. Step 5: Solve for x
    x = 47,784,582,668.10/279,955.67
  6. Step 6: Final answer
    x = 170,686.25

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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.