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Finding the Fourth Proportional to 137,388.80, 205,778.73 and 105,564.62

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Solution

The fourth proportional to 137,388.80, 205,778.73 and 105,564.62 is: 158,112.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,388.80 : 205,778.73 = 105,564.62 : x
  2. Step 2: Convert to fraction form
    137,388.80/205,778.73 = 105,564.62/x
  3. Step 3: Cross multiply
    137,388.80x = 205,778.73 × 105,564.62
  4. Step 4: Simplify right side
    137,388.80x = 21,722,952,407.64
  5. Step 5: Solve for x
    x = 21,722,952,407.64/137,388.80
  6. Step 6: Final answer
    x = 158,112.98

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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.