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Finding the Fourth Proportional to 213,644.16, 320,441.76 and 55,887.84

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Solution

The fourth proportional to 213,644.16, 320,441.76 and 55,887.84 is: 83,825.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,644.16 : 320,441.76 = 55,887.84 : x
  2. Step 2: Convert to fraction form
    213,644.16/320,441.76 = 55,887.84/x
  3. Step 3: Cross multiply
    213,644.16x = 320,441.76 × 55,887.84
  4. Step 4: Simplify right side
    213,644.16x = 17,908,797,812.20
  5. Step 5: Solve for x
    x = 17,908,797,812.20/213,644.16
  6. Step 6: Final answer
    x = 83,825.36

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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.