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Finding the Fourth Proportional to 255,393.94, 382,959.66 and 137,164.72

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Solution

The fourth proportional to 255,393.94, 382,959.66 and 137,164.72 is: 205,676.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,393.94 : 382,959.66 = 137,164.72 : x
  2. Step 2: Convert to fraction form
    255,393.94/382,959.66 = 137,164.72/x
  3. Step 3: Cross multiply
    255,393.94x = 382,959.66 × 137,164.72
  4. Step 4: Simplify right side
    255,393.94x = 52,528,554,535.20
  5. Step 5: Solve for x
    x = 52,528,554,535.20/255,393.94
  6. Step 6: Final answer
    x = 205,676.59

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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.