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Finding the Fourth Proportional to 255,268.41, 382,959.72 and 77,789.31

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Solution

The fourth proportional to 255,268.41, 382,959.72 and 77,789.31 is: 116,701.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,268.41 : 382,959.72 = 77,789.31 : x
  2. Step 2: Convert to fraction form
    255,268.41/382,959.72 = 77,789.31/x
  3. Step 3: Cross multiply
    255,268.41x = 382,959.72 × 77,789.31
  4. Step 4: Simplify right side
    255,268.41x = 29,790,172,376.59
  5. Step 5: Solve for x
    x = 29,790,172,376.59/255,268.41
  6. Step 6: Final answer
    x = 116,701.37

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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.