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Finding the Fourth Proportional to 254,384, 381,079.56 and 121,081.04

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Solution

The fourth proportional to 254,384, 381,079.56 and 121,081.04 is: 181,385.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,384 : 381,079.56 = 121,081.04 : x
  2. Step 2: Convert to fraction form
    254,384/381,079.56 = 121,081.04/x
  3. Step 3: Cross multiply
    254,384x = 381,079.56 × 121,081.04
  4. Step 4: Simplify right side
    254,384x = 46,141,509,447.54
  5. Step 5: Solve for x
    x = 46,141,509,447.54/254,384
  6. Step 6: Final answer
    x = 181,385.27

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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.