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Finding the Fourth Proportional to 255,027.78, 382,377.65 and 121,905.09

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Solution

The fourth proportional to 255,027.78, 382,377.65 and 121,905.09 is: 182,779.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,027.78 : 382,377.65 = 121,905.09 : x
  2. Step 2: Convert to fraction form
    255,027.78/382,377.65 = 121,905.09/x
  3. Step 3: Cross multiply
    255,027.78x = 382,377.65 × 121,905.09
  4. Step 4: Simplify right side
    255,027.78x = 46,613,781,227.71
  5. Step 5: Solve for x
    x = 46,613,781,227.71/255,027.78
  6. Step 6: Final answer
    x = 182,779.23

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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.