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Finding the Fourth Proportional to 201,084.88, 301,664.38 and 66,156.54

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Solution

The fourth proportional to 201,084.88, 301,664.38 and 66,156.54 is: 99,247.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,084.88 : 301,664.38 = 66,156.54 : x
  2. Step 2: Convert to fraction form
    201,084.88/301,664.38 = 66,156.54/x
  3. Step 3: Cross multiply
    201,084.88x = 301,664.38 × 66,156.54
  4. Step 4: Simplify right side
    201,084.88x = 19,957,071,622.05
  5. Step 5: Solve for x
    x = 19,957,071,622.05/201,084.88
  6. Step 6: Final answer
    x = 99,247.00

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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.