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Finding the Fourth Proportional to 255,393.68, 382,959.27 and 137,164.46

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Solution

The fourth proportional to 255,393.68, 382,959.27 and 137,164.46 is: 205,676.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,393.68 : 382,959.27 = 137,164.46 : x
  2. Step 2: Convert to fraction form
    255,393.68/382,959.27 = 137,164.46/x
  3. Step 3: Cross multiply
    255,393.68x = 382,959.27 × 137,164.46
  4. Step 4: Simplify right side
    255,393.68x = 52,528,399,556.75
  5. Step 5: Solve for x
    x = 52,528,399,556.75/255,393.68
  6. Step 6: Final answer
    x = 205,676.20

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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.