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Finding the Fourth Proportional to 255,481.07, 383,277.89 and 78,001.97

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Solution

The fourth proportional to 255,481.07, 383,277.89 and 78,001.97 is: 117,020.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,481.07 : 383,277.89 = 78,001.97 : x
  2. Step 2: Convert to fraction form
    255,481.07/383,277.89 = 78,001.97/x
  3. Step 3: Cross multiply
    255,481.07x = 383,277.89 × 78,001.97
  4. Step 4: Simplify right side
    255,481.07x = 29,896,428,756.06
  5. Step 5: Solve for x
    x = 29,896,428,756.06/255,481.07
  6. Step 6: Final answer
    x = 117,020.14

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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.