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Finding the Fourth Proportional to 213,963.48, 321,005.22 and 85,969.65

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Solution

The fourth proportional to 213,963.48, 321,005.22 and 85,969.65 is: 128,978.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,963.48 : 321,005.22 = 85,969.65 : x
  2. Step 2: Convert to fraction form
    213,963.48/321,005.22 = 85,969.65/x
  3. Step 3: Cross multiply
    213,963.48x = 321,005.22 × 85,969.65
  4. Step 4: Simplify right side
    213,963.48x = 27,596,704,806.55
  5. Step 5: Solve for x
    x = 27,596,704,806.55/213,963.48
  6. Step 6: Final answer
    x = 128,978.57

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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.