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Finding the Fourth Proportional to 225,909.88, 311,962.98 and 145,478.68

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Solution

The fourth proportional to 225,909.88, 311,962.98 and 145,478.68 is: 200,894.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,909.88 : 311,962.98 = 145,478.68 : x
  2. Step 2: Convert to fraction form
    225,909.88/311,962.98 = 145,478.68/x
  3. Step 3: Cross multiply
    225,909.88x = 311,962.98 × 145,478.68
  4. Step 4: Simplify right side
    225,909.88x = 45,383,962,539.27
  5. Step 5: Solve for x
    x = 45,383,962,539.27/225,909.88
  6. Step 6: Final answer
    x = 200,894.10

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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.