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Finding the Fourth Proportional to 213,643.40, 320,471.64 and 73,400

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Solution

The fourth proportional to 213,643.40, 320,471.64 and 73,400 is: 110,102.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,643.40 : 320,471.64 = 73,400 : x
  2. Step 2: Convert to fraction form
    213,643.40/320,471.64 = 73,400/x
  3. Step 3: Cross multiply
    213,643.40x = 320,471.64 × 73,400
  4. Step 4: Simplify right side
    213,643.40x = 23,522,618,376
  5. Step 5: Solve for x
    x = 23,522,618,376/213,643.40
  6. Step 6: Final answer
    x = 110,102.25

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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.