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Finding the Fourth Proportional to 255,077.28, 382,451.90 and 121,954.59

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Solution

The fourth proportional to 255,077.28, 382,451.90 and 121,954.59 is: 182,853.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,077.28 : 382,451.90 = 121,954.59 : x
  2. Step 2: Convert to fraction form
    255,077.28/382,451.90 = 121,954.59/x
  3. Step 3: Cross multiply
    255,077.28x = 382,451.90 × 121,954.59
  4. Step 4: Simplify right side
    255,077.28x = 46,641,764,049.45
  5. Step 5: Solve for x
    x = 46,641,764,049.45/255,077.28
  6. Step 6: Final answer
    x = 182,853.46

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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.