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Finding the Fourth Proportional to 225,664.86, 311,376.62 and 145,073.90

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Solution

The fourth proportional to 225,664.86, 311,376.62 and 145,073.90 is: 200,175.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,664.86 : 311,376.62 = 145,073.90 : x
  2. Step 2: Convert to fraction form
    225,664.86/311,376.62 = 145,073.90/x
  3. Step 3: Cross multiply
    225,664.86x = 311,376.62 × 145,073.90
  4. Step 4: Simplify right side
    225,664.86x = 45,172,620,632.22
  5. Step 5: Solve for x
    x = 45,172,620,632.22/225,664.86
  6. Step 6: Final answer
    x = 200,175.70

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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.