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Finding the Fourth Proportional to 213,891.94, 320,837.46 and 87,591.04

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Solution

The fourth proportional to 213,891.94, 320,837.46 and 87,591.04 is: 131,386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,891.94 : 320,837.46 = 87,591.04 : x
  2. Step 2: Convert to fraction form
    213,891.94/320,837.46 = 87,591.04/x
  3. Step 3: Cross multiply
    213,891.94x = 320,837.46 × 87,591.04
  4. Step 4: Simplify right side
    213,891.94x = 28,102,486,792.36
  5. Step 5: Solve for x
    x = 28,102,486,792.36/213,891.94
  6. Step 6: Final answer
    x = 131,386.38

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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.