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Finding the Fourth Proportional to 254,456.10, 381,102.78 and 121,429.78

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Solution

The fourth proportional to 254,456.10, 381,102.78 and 121,429.78 is: 181,867.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,456.10 : 381,102.78 = 121,429.78 : x
  2. Step 2: Convert to fraction form
    254,456.10/381,102.78 = 121,429.78/x
  3. Step 3: Cross multiply
    254,456.10x = 381,102.78 × 121,429.78
  4. Step 4: Simplify right side
    254,456.10x = 46,277,226,732.79
  5. Step 5: Solve for x
    x = 46,277,226,732.79/254,456.10
  6. Step 6: Final answer
    x = 181,867.23

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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.