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Finding the Fourth Proportional to 137,228.85, 205,843.32 and 90,470.79

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Solution

The fourth proportional to 137,228.85, 205,843.32 and 90,470.79 is: 135,706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,228.85 : 205,843.32 = 90,470.79 : x
  2. Step 2: Convert to fraction form
    137,228.85/205,843.32 = 90,470.79/x
  3. Step 3: Cross multiply
    137,228.85x = 205,843.32 × 90,470.79
  4. Step 4: Simplify right side
    137,228.85x = 18,622,807,776.62
  5. Step 5: Solve for x
    x = 18,622,807,776.62/137,228.85
  6. Step 6: Final answer
    x = 135,706.21

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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.