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Finding the Fourth Proportional to 139,940.92, 193,009.26 and 89,644.60

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Solution

The fourth proportional to 139,940.92, 193,009.26 and 89,644.60 is: 123,639.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,940.92 : 193,009.26 = 89,644.60 : x
  2. Step 2: Convert to fraction form
    139,940.92/193,009.26 = 89,644.60/x
  3. Step 3: Cross multiply
    139,940.92x = 193,009.26 × 89,644.60
  4. Step 4: Simplify right side
    139,940.92x = 17,302,237,909.00
  5. Step 5: Solve for x
    x = 17,302,237,909.00/139,940.92
  6. Step 6: Final answer
    x = 123,639.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.