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Finding the Fourth Proportional to 213,963.53, 320,995.95 and 69,868.64

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Solution

The fourth proportional to 213,963.53, 320,995.95 and 69,868.64 is: 104,819.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,963.53 : 320,995.95 = 69,868.64 : x
  2. Step 2: Convert to fraction form
    213,963.53/320,995.95 = 69,868.64/x
  3. Step 3: Cross multiply
    213,963.53x = 320,995.95 × 69,868.64
  4. Step 4: Simplify right side
    213,963.53x = 22,427,550,472.01
  5. Step 5: Solve for x
    x = 22,427,550,472.01/213,963.53
  6. Step 6: Final answer
    x = 104,819.50

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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.