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Finding the Fourth Proportional to 201,146.94, 301,824.90 and 81,233.38

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Solution

The fourth proportional to 201,146.94, 301,824.90 and 81,233.38 is: 121,892.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,146.94 : 301,824.90 = 81,233.38 : x
  2. Step 2: Convert to fraction form
    201,146.94/301,824.90 = 81,233.38/x
  3. Step 3: Cross multiply
    201,146.94x = 301,824.90 × 81,233.38
  4. Step 4: Simplify right side
    201,146.94x = 24,518,256,795.16
  5. Step 5: Solve for x
    x = 24,518,256,795.16/201,146.94
  6. Step 6: Final answer
    x = 121,892.27

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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.