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Finding the Fourth Proportional to 255,290.09, 382,976.69 and 75,393.72

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Solution

The fourth proportional to 255,290.09, 382,976.69 and 75,393.72 is: 113,102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,290.09 : 382,976.69 = 75,393.72 : x
  2. Step 2: Convert to fraction form
    255,290.09/382,976.69 = 75,393.72/x
  3. Step 3: Cross multiply
    255,290.09x = 382,976.69 × 75,393.72
  4. Step 4: Simplify right side
    255,290.09x = 28,874,036,955.42
  5. Step 5: Solve for x
    x = 28,874,036,955.42/255,290.09
  6. Step 6: Final answer
    x = 113,102.85

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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.