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Finding the Fourth Proportional to 279,976.93, 420,139.56 and 113,764.93

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Solution

The fourth proportional to 279,976.93, 420,139.56 and 113,764.93 is: 170,718.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,976.93 : 420,139.56 = 113,764.93 : x
  2. Step 2: Convert to fraction form
    279,976.93/420,139.56 = 113,764.93/x
  3. Step 3: Cross multiply
    279,976.93x = 420,139.56 × 113,764.93
  4. Step 4: Simplify right side
    279,976.93x = 47,797,147,633.63
  5. Step 5: Solve for x
    x = 47,797,147,633.63/279,976.93
  6. Step 6: Final answer
    x = 170,718.16

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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.