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Finding the Fourth Proportional to 225,663.86, 311,448.02 and 139,650.54

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Solution

The fourth proportional to 225,663.86, 311,448.02 and 139,650.54 is: 192,737.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,663.86 : 311,448.02 = 139,650.54 : x
  2. Step 2: Convert to fraction form
    225,663.86/311,448.02 = 139,650.54/x
  3. Step 3: Cross multiply
    225,663.86x = 311,448.02 × 139,650.54
  4. Step 4: Simplify right side
    225,663.86x = 43,493,883,970.23
  5. Step 5: Solve for x
    x = 43,493,883,970.23/225,663.86
  6. Step 6: Final answer
    x = 192,737.48

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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.