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Finding the Fourth Proportional to 213,642.84, 320,463.86 and 80,552.96

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Solution

The fourth proportional to 213,642.84, 320,463.86 and 80,552.96 is: 120,829.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,642.84 : 320,463.86 = 80,552.96 : x
  2. Step 2: Convert to fraction form
    213,642.84/320,463.86 = 80,552.96/x
  3. Step 3: Cross multiply
    213,642.84x = 320,463.86 × 80,552.96
  4. Step 4: Simplify right side
    213,642.84x = 25,814,310,490.94
  5. Step 5: Solve for x
    x = 25,814,310,490.94/213,642.84
  6. Step 6: Final answer
    x = 120,829.28

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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.