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Finding the Fourth Proportional to 213,681.87, 320,568.18 and 80,558.91

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Solution

The fourth proportional to 213,681.87, 320,568.18 and 80,558.91 is: 120,855.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,681.87 : 320,568.18 = 80,558.91 : x
  2. Step 2: Convert to fraction form
    213,681.87/320,568.18 = 80,558.91/x
  3. Step 3: Cross multiply
    213,681.87x = 320,568.18 × 80,558.91
  4. Step 4: Simplify right side
    213,681.87x = 25,824,623,161.48
  5. Step 5: Solve for x
    x = 25,824,623,161.48/213,681.87
  6. Step 6: Final answer
    x = 120,855.47

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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.