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Finding the Fourth Proportional to 255,740.57, 383,721.49 and 137,273.62

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Solution

The fourth proportional to 255,740.57, 383,721.49 and 137,273.62 is: 205,969.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,740.57 : 383,721.49 = 137,273.62 : x
  2. Step 2: Convert to fraction form
    255,740.57/383,721.49 = 137,273.62/x
  3. Step 3: Cross multiply
    255,740.57x = 383,721.49 × 137,273.62
  4. Step 4: Simplify right side
    255,740.57x = 52,674,838,321.94
  5. Step 5: Solve for x
    x = 52,674,838,321.94/255,740.57
  6. Step 6: Final answer
    x = 205,969.81

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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.