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Finding the Fourth Proportional to 213,536.80, 320,218.80 and 73,223.20

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Solution

The fourth proportional to 213,536.80, 320,218.80 and 73,223.20 is: 109,805.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,536.80 : 320,218.80 = 73,223.20 : x
  2. Step 2: Convert to fraction form
    213,536.80/320,218.80 = 73,223.20/x
  3. Step 3: Cross multiply
    213,536.80x = 320,218.80 × 73,223.20
  4. Step 4: Simplify right side
    213,536.80x = 23,447,445,236.16
  5. Step 5: Solve for x
    x = 23,447,445,236.16/213,536.80
  6. Step 6: Final answer
    x = 109,805.17

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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.