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Finding the Fourth Proportional to 255,026.78, 382,376.15 and 121,904.09

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Solution

The fourth proportional to 255,026.78, 382,376.15 and 121,904.09 is: 182,777.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,026.78 : 382,376.15 = 121,904.09 : x
  2. Step 2: Convert to fraction form
    255,026.78/382,376.15 = 121,904.09/x
  3. Step 3: Cross multiply
    255,026.78x = 382,376.15 × 121,904.09
  4. Step 4: Simplify right side
    255,026.78x = 46,613,215,993.93
  5. Step 5: Solve for x
    x = 46,613,215,993.93/255,026.78
  6. Step 6: Final answer
    x = 182,777.73

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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.