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Finding the Fourth Proportional to 201,213.66, 301,830.57 and 76,564.38

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Solution

The fourth proportional to 201,213.66, 301,830.57 and 76,564.38 is: 114,850.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,213.66 : 301,830.57 = 76,564.38 : x
  2. Step 2: Convert to fraction form
    201,213.66/301,830.57 = 76,564.38/x
  3. Step 3: Cross multiply
    201,213.66x = 301,830.57 × 76,564.38
  4. Step 4: Simplify right side
    201,213.66x = 23,109,470,457.10
  5. Step 5: Solve for x
    x = 23,109,470,457.10/201,213.66
  6. Step 6: Final answer
    x = 114,850.41

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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.